%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG004-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:39 PM UTC 2026
% Result : Unsatisfiable 64.31s 22.12s
% Output : Refutation 64.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 18
% Syntax : Number of formulae : 131 ( 131 unt; 0 def)
% Number of atoms : 131 ( 130 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 260 ( 260 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X0] : sum(additive_identity,X0,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f4,axiom,
! [X0] : sum(X0,additive_identity,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f5,plain,
! [X0] : true = sum(X0,additive_identity,X0),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f7,plain,
! [X0,X1] : true = product(X0,X1,multiply(X0,X1)),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f9,plain,
! [X0,X1] : true = sum(X0,X1,add(X0,X1)),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f11,plain,
! [X0] : true = sum(additive_inverse(X0),X0,additive_identity),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f13,plain,
! [X0] : true = sum(X0,additive_inverse(X0),additive_identity),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X4,X5] : ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X1,X4),true,ifeq(sum(X5,X3,X0),true,sum(X5,X4,X2),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X1,X4),true,ifeq(sum(X5,X3,X0),true,sum(X5,X4,X2),true),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X4,X5] : ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X0,X5),true,sum(X5,X1,X4),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X0,X5),true,sum(X5,X1,X4),true),true),true),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X2,X0,X1] : ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f19,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true),
inference(reorient_equations,[],[f18]) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(product(X0,X5,X6),true,ifeq(sum(X5,X3,X1),true,sum(X6,X4,X2),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f25,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(product(X0,X5,X6),true,ifeq(sum(X5,X3,X1),true,sum(X6,X4,X2),true),true),true),true),
inference(reorient_equations,[],[f24]) ).
fof(f28,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(X5,X1,X6),true,ifeq(sum(X5,X3,X0),true,sum(X6,X4,X2),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f29,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(X5,X1,X6),true,ifeq(sum(X5,X3,X0),true,sum(X6,X4,X2),true),true),true),true),
inference(reorient_equations,[],[f28]) ).
fof(f32,axiom,
! [X2,X3,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(sum(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f33,axiom,
! [X2,X3,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(product(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f34,axiom,
product(a,b,c) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
fof(f35,plain,
true = product(a,b,c),
inference(reorient_equations,[],[f34]) ).
fof(f36,axiom,
product(additive_inverse(a),additive_inverse(b),d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b_inverse) ).
fof(f37,plain,
true = product(additive_inverse(a),additive_inverse(b),d),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f43,plain,
! [X0,X1] : true = ifeq(true,true,sum(X1,X0,add(X0,X1)),true),
inference(superposition,[],[f19,f9]) ).
fof(f57,plain,
! [X0,X1] : ifeq2(true,true,ifeq2(sum(additive_identity,X0,X1),true,X1,X0),X0) = X0,
inference(superposition,[],[f32,f3]) ).
fof(f61,plain,
! [X2,X0,X1] : add(X0,X1) = ifeq2(true,true,ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),add(X0,X1)),
inference(superposition,[],[f32,f9]) ).
fof(f63,plain,
! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
inference(superposition,[],[f32,f5]) ).
fof(f64,plain,
! [X0,X1] : ifeq2(sum(additive_inverse(X0),X0,X1),true,ifeq2(true,true,additive_identity,X1),X1) = X1,
inference(superposition,[],[f32,f11]) ).
fof(f66,plain,
! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
inference(superposition,[],[f32,f9]) ).
fof(f67,plain,
! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
inference(forward_demodulation,[],[f66,f1]) ).
fof(f69,plain,
! [X0,X1] : ifeq2(sum(additive_inverse(X0),X0,X1),true,additive_identity,X1) = X1,
inference(forward_demodulation,[],[f64,f1]) ).
fof(f70,plain,
! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,X0,X1) = X1,
inference(forward_demodulation,[],[f63,f1]) ).
fof(f76,plain,
! [X0] : ifeq2(product(additive_inverse(a),additive_inverse(b),X0),true,ifeq2(true,true,d,X0),X0) = X0,
inference(superposition,[],[f33,f37]) ).
fof(f79,plain,
! [X0] : ifeq2(product(additive_inverse(a),additive_inverse(b),X0),true,d,X0) = X0,
inference(forward_demodulation,[],[f76,f1]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(sum(add(X0,X1),X2,X3),true,ifeq(sum(X1,X2,X4),true,ifeq(true,true,sum(X0,X4,X3),true),true),true),
inference(superposition,[],[f15,f9]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(sum(add(X0,X1),X2,X3),true,ifeq(sum(X1,X2,X4),true,sum(X0,X4,X3),true),true),
inference(forward_demodulation,[],[f99,f2]) ).
fof(f122,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(X0,X1,additive_identity),true,ifeq(true,true,ifeq(sum(X2,X0,X3),true,sum(X3,X1,X2),true),true),true),
inference(superposition,[],[f17,f5]) ).
fof(f145,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(X0,X1,additive_identity),true,ifeq(sum(X2,X0,X3),true,sum(X3,X1,X2),true),true),
inference(forward_demodulation,[],[f122,f2]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,additive_identity,X3),true,ifeq(product(X0,X1,X4),true,ifeq(true,true,sum(X4,X3,X2),true),true),true),true),
inference(superposition,[],[f25,f5]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,X3),true,ifeq(product(X0,additive_inverse(X2),X4),true,ifeq(true,true,sum(X4,X3,X1),true),true),true),true),
inference(superposition,[],[f25,f11]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,X3),true,ifeq(product(X0,additive_inverse(X2),X4),true,sum(X4,X3,X1),true),true),true),
inference(forward_demodulation,[],[f194,f2]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,additive_identity,X3),true,ifeq(product(X0,X1,X4),true,sum(X4,X3,X2),true),true),true),
inference(forward_demodulation,[],[f193,f2]) ).
fof(f252,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,b,X1),true,ifeq(product(X2,b,X3),true,ifeq(true,true,ifeq(sum(a,X2,X0),true,sum(c,X3,X1),true),true),true),true),
inference(superposition,[],[f29,f35]) ).
fof(f273,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,b,X1),true,ifeq(product(X2,b,X3),true,ifeq(sum(a,X2,X0),true,sum(c,X3,X1),true),true),true),
inference(forward_demodulation,[],[f252,f2]) ).
fof(f313,plain,
! [X0] : add(X0,additive_identity) = ifeq2(true,true,X0,add(X0,additive_identity)),
inference(superposition,[],[f70,f9]) ).
fof(f315,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(forward_demodulation,[],[f313,f1]) ).
fof(f331,plain,
! [X0] : add(additive_inverse(X0),X0) = ifeq2(true,true,additive_identity,add(additive_inverse(X0),X0)),
inference(superposition,[],[f69,f9]) ).
fof(f333,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(forward_demodulation,[],[f331,f1]) ).
fof(f336,plain,
multiply(additive_inverse(a),additive_inverse(b)) = ifeq2(true,true,d,multiply(additive_inverse(a),additive_inverse(b))),
inference(superposition,[],[f79,f7]) ).
fof(f338,plain,
d = multiply(additive_inverse(a),additive_inverse(b)),
inference(forward_demodulation,[],[f336,f1]) ).
fof(f347,plain,
! [X0,X1] : true = sum(X0,X1,add(X1,X0)),
inference(superposition,[],[f43,f2]) ).
fof(f408,plain,
! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,X1,X0) = X0,
inference(superposition,[],[f57,f1]) ).
fof(f536,plain,
! [X0,X1] : add(X1,X0) = ifeq2(true,true,add(X0,X1),add(X1,X0)),
inference(superposition,[],[f67,f347]) ).
fof(f607,plain,
! [X2,X0,X1] : add(X0,X1) = ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),
inference(superposition,[],[f61,f1]) ).
fof(f828,plain,
! [X0,X1] : true = ifeq(sum(additive_inverse(X0),X1,additive_identity),true,ifeq(true,true,sum(additive_identity,X1,X0),true),true),
inference(superposition,[],[f145,f13]) ).
fof(f829,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,additive_identity),true,ifeq(true,true,sum(add(X2,X0),X1,X2),true),true),
inference(superposition,[],[f145,f9]) ).
fof(f843,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,additive_identity),true,sum(add(X2,X0),X1,X2),true),
inference(forward_demodulation,[],[f829,f2]) ).
fof(f844,plain,
! [X0,X1] : true = ifeq(sum(additive_inverse(X0),X1,additive_identity),true,sum(additive_identity,X1,X0),true),
inference(forward_demodulation,[],[f828,f2]) ).
fof(f1208,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(add(X0,X1),X2,X3),true,ifeq(true,true,sum(X0,add(X1,X2),X3),true),true),
inference(superposition,[],[f106,f9]) ).
fof(f1220,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(add(X0,X1),X2,X3),true,sum(X0,add(X1,X2),X3),true),
inference(forward_demodulation,[],[f1208,f2]) ).
fof(f2453,plain,
! [X0,X1] : true = ifeq(product(a,b,X0),true,ifeq(product(additive_identity,b,X1),true,ifeq(true,true,sum(c,X1,X0),true),true),true),
inference(superposition,[],[f273,f5]) ).
fof(f2454,plain,
! [X0,X1] : true = ifeq(product(additive_identity,b,X0),true,ifeq(product(additive_inverse(a),b,X1),true,ifeq(true,true,sum(c,X1,X0),true),true),true),
inference(superposition,[],[f273,f13]) ).
fof(f2466,plain,
! [X0,X1] : true = ifeq(product(additive_identity,b,X0),true,ifeq(product(additive_inverse(a),b,X1),true,sum(c,X1,X0),true),true),
inference(forward_demodulation,[],[f2454,f2]) ).
fof(f2467,plain,
! [X0,X1] : true = ifeq(product(a,b,X0),true,ifeq(product(additive_identity,b,X1),true,sum(c,X1,X0),true),true),
inference(forward_demodulation,[],[f2453,f2]) ).
fof(f2533,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,additive_identity,X3),true,ifeq(true,true,sum(multiply(X0,X1),X3,X2),true),true),true),
inference(superposition,[],[f206,f7]) ).
fof(f2540,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,additive_identity,X3),true,sum(multiply(X0,X1),X3,X2),true),true),
inference(forward_demodulation,[],[f2533,f2]) ).
fof(f2810,plain,
! [X0,X1] : true = ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(product(additive_inverse(a),b,X1),true,ifeq(true,true,sum(d,X1,X0),true),true),true),
inference(superposition,[],[f205,f37]) ).
fof(f2819,plain,
! [X0,X1] : true = ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(product(additive_inverse(a),b,X1),true,sum(d,X1,X0),true),true),
inference(forward_demodulation,[],[f2810,f2]) ).
fof(f4662,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(superposition,[],[f536,f1]) ).
fof(f5210,plain,
! [X0] : true = ifeq(true,true,sum(additive_identity,additive_inverse(additive_inverse(X0)),X0),true),
inference(superposition,[],[f844,f13]) ).
fof(f5247,plain,
! [X0] : true = sum(additive_identity,additive_inverse(additive_inverse(X0)),X0),
inference(superposition,[],[f5210,f2]) ).
fof(f5306,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = ifeq2(true,true,X0,additive_inverse(additive_inverse(X0))),
inference(superposition,[],[f408,f5247]) ).
fof(f5642,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(forward_demodulation,[],[f5306,f1]) ).
fof(f5979,plain,
! [X0,X1] : true = ifeq(true,true,sum(add(X1,additive_inverse(X0)),X0,X1),true),
inference(superposition,[],[f843,f11]) ).
fof(f6896,plain,
! [X0,X1] : true = sum(add(X0,additive_inverse(X1)),X1,X0),
inference(superposition,[],[f5979,f2]) ).
fof(f6968,plain,
! [X0,X1] : add(add(X0,additive_inverse(X1)),X1) = ifeq2(true,true,ifeq2(true,true,X0,add(add(X0,additive_inverse(X1)),X1)),add(add(X0,additive_inverse(X1)),X1)),
inference(superposition,[],[f61,f6896]) ).
fof(f7283,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = ifeq2(true,true,ifeq2(true,true,X0,add(X1,add(X0,additive_inverse(X1)))),add(X1,add(X0,additive_inverse(X1)))),
inference(forward_demodulation,[],[f6968,f4662]) ).
fof(f7340,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = ifeq2(true,true,X0,add(X1,add(X0,additive_inverse(X1)))),
inference(forward_demodulation,[],[f7283,f1]) ).
fof(f7363,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(forward_demodulation,[],[f7340,f1]) ).
fof(f7588,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(superposition,[],[f7363,f5642]) ).
fof(f8263,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(superposition,[],[f7588,f4662]) ).
fof(f8531,plain,
! [X2,X0,X1] : true = ifeq(true,true,sum(X0,add(X1,X2),add(add(X0,X1),X2)),true),
inference(superposition,[],[f1220,f9]) ).
fof(f28817,plain,
! [X0] : true = ifeq(product(a,b,X0),true,ifeq(true,true,sum(c,multiply(additive_identity,b),X0),true),true),
inference(superposition,[],[f2467,f7]) ).
fof(f28835,plain,
! [X0] : true = ifeq(product(a,b,X0),true,sum(c,multiply(additive_identity,b),X0),true),
inference(forward_demodulation,[],[f28817,f2]) ).
fof(f33024,plain,
! [X0] : true = ifeq(product(additive_identity,b,X0),true,ifeq(true,true,sum(c,multiply(additive_inverse(a),b),X0),true),true),
inference(superposition,[],[f2466,f7]) ).
fof(f33040,plain,
! [X0] : true = ifeq(product(additive_identity,b,X0),true,sum(c,multiply(additive_inverse(a),b),X0),true),
inference(forward_demodulation,[],[f33024,f2]) ).
fof(f38135,plain,
! [X0] : true = ifeq(product(additive_inverse(a),additive_identity,X0),true,ifeq(true,true,sum(d,multiply(additive_inverse(a),b),X0),true),true),
inference(superposition,[],[f2819,f7]) ).
fof(f38152,plain,
! [X0] : true = ifeq(product(additive_inverse(a),additive_identity,X0),true,sum(d,multiply(additive_inverse(a),b),X0),true),
inference(forward_demodulation,[],[f38135,f2]) ).
fof(f39915,plain,
! [X2,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,sum(multiply(X0,X1),multiply(X0,additive_identity),X2),true),true),
inference(superposition,[],[f2540,f7]) ).
fof(f39942,plain,
! [X2,X0,X1] : true = ifeq(product(X0,X1,X2),true,sum(multiply(X0,X1),multiply(X0,additive_identity),X2),true),
inference(forward_demodulation,[],[f39915,f2]) ).
fof(f108243,plain,
true = ifeq(true,true,sum(c,multiply(additive_identity,b),c),true),
inference(superposition,[],[f28835,f35]) ).
fof(f120549,plain,
true = sum(c,multiply(additive_identity,b),c),
inference(superposition,[],[f108243,f2]) ).
fof(f121721,plain,
add(c,multiply(additive_identity,b)) = ifeq2(true,true,c,add(c,multiply(additive_identity,b))),
inference(superposition,[],[f607,f120549]) ).
fof(f121945,plain,
c = add(c,multiply(additive_identity,b)),
inference(forward_demodulation,[],[f121721,f1]) ).
fof(f122309,plain,
multiply(additive_identity,b) = add(additive_inverse(c),c),
inference(superposition,[],[f8263,f121945]) ).
fof(f122481,plain,
additive_identity = multiply(additive_identity,b),
inference(forward_demodulation,[],[f122309,f333]) ).
fof(f124515,plain,
true = ifeq(true,true,sum(c,multiply(additive_inverse(a),b),multiply(additive_identity,b)),true),
inference(superposition,[],[f33040,f7]) ).
fof(f124538,plain,
true = ifeq(true,true,sum(c,multiply(additive_inverse(a),b),additive_identity),true),
inference(forward_demodulation,[],[f124515,f122481]) ).
fof(f129051,plain,
! [X2,X0,X1] : true = sum(X0,add(X1,X2),add(add(X0,X1),X2)),
inference(superposition,[],[f8531,f2]) ).
fof(f129519,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = ifeq2(true,true,add(X0,add(X1,X2)),add(add(X0,X1),X2)),
inference(superposition,[],[f67,f129051]) ).
fof(f130002,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(forward_demodulation,[],[f129519,f1]) ).
fof(f130547,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f130002,f4662]) ).
fof(f133695,plain,
! [X2,X0,X1] : add(additive_inverse(add(X0,X1)),add(X0,add(X1,X2))) = X2,
inference(superposition,[],[f7588,f130547]) ).
fof(f190164,plain,
true = ifeq(true,true,sum(multiply(additive_inverse(a),additive_inverse(b)),multiply(additive_inverse(a),additive_identity),d),true),
inference(superposition,[],[f39942,f37]) ).
fof(f190260,plain,
true = ifeq(true,true,sum(d,multiply(additive_inverse(a),additive_identity),d),true),
inference(forward_demodulation,[],[f190164,f338]) ).
fof(f437124,plain,
true = sum(c,multiply(additive_inverse(a),b),additive_identity),
inference(superposition,[],[f124538,f2]) ).
fof(f439072,plain,
true = sum(d,multiply(additive_inverse(a),additive_identity),d),
inference(superposition,[],[f190260,f2]) ).
fof(f441123,plain,
add(c,multiply(additive_inverse(a),b)) = ifeq2(true,true,additive_identity,add(c,multiply(additive_inverse(a),b))),
inference(superposition,[],[f607,f437124]) ).
fof(f441538,plain,
additive_identity = add(c,multiply(additive_inverse(a),b)),
inference(forward_demodulation,[],[f441123,f1]) ).
fof(f442217,plain,
multiply(additive_inverse(a),b) = add(additive_inverse(c),additive_identity),
inference(superposition,[],[f8263,f441538]) ).
fof(f442777,plain,
additive_inverse(c) = multiply(additive_inverse(a),b),
inference(forward_demodulation,[],[f442217,f315]) ).
fof(f445509,plain,
add(d,multiply(additive_inverse(a),additive_identity)) = ifeq2(true,true,d,add(d,multiply(additive_inverse(a),additive_identity))),
inference(superposition,[],[f607,f439072]) ).
fof(f445916,plain,
d = add(d,multiply(additive_inverse(a),additive_identity)),
inference(forward_demodulation,[],[f445509,f1]) ).
fof(f446866,plain,
! [X0] : multiply(additive_inverse(a),additive_identity) = add(additive_inverse(add(X0,d)),add(X0,d)),
inference(superposition,[],[f133695,f445916]) ).
fof(f446947,plain,
additive_identity = multiply(additive_inverse(a),additive_identity),
inference(forward_demodulation,[],[f446866,f333]) ).
fof(f447305,plain,
true = product(additive_inverse(a),additive_identity,additive_identity),
inference(superposition,[],[f7,f446947]) ).
fof(f447971,plain,
true = ifeq(true,true,sum(d,multiply(additive_inverse(a),b),additive_identity),true),
inference(superposition,[],[f38152,f447305]) ).
fof(f449339,plain,
true = ifeq(true,true,sum(d,additive_inverse(c),additive_identity),true),
inference(forward_demodulation,[],[f447971,f442777]) ).
fof(f509535,plain,
true = sum(d,additive_inverse(c),additive_identity),
inference(superposition,[],[f449339,f2]) ).
fof(f509838,plain,
add(d,additive_inverse(c)) = ifeq2(true,true,additive_identity,add(d,additive_inverse(c))),
inference(superposition,[],[f607,f509535]) ).
fof(f510201,plain,
additive_identity = add(d,additive_inverse(c)),
inference(forward_demodulation,[],[f509838,f1]) ).
fof(f510615,plain,
d = add(c,additive_identity),
inference(superposition,[],[f7363,f510201]) ).
fof(f511607,plain,
c = d,
inference(forward_demodulation,[],[f510615,f315]) ).
fof(f511733,plain,
$false,
inference(forward_subsumption_resolution,[],[f511607,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG004-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:58:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.01/2.87 % (1398484)Will run a generic schedule for satisfiability detection.
% 15.01/2.87 % (1398493)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1368992750:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.01/2.87 % (1398490)% WARNING: option uhcvi not known.
% 15.01/2.87 % (1398489)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=5837415_2999 on theBenchmark for (2999ds/0Mi)
% 15.01/2.87 % (1398492)dis+10_1_sil=32000:sp=arity:random_seed=3843374543:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.01/2.87 % (1398491)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2080703674:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.01/2.87 % (1398490)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=342302211:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.01/2.87 % (1398494)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1721680328:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.01/2.87 % (1398495)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1022200929:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.01/2.87 % TRYING [1]
% 15.01/2.87 % TRYING [2]
% 15.01/2.87 % TRYING [3]
% 15.01/2.87 % (1398493)Instruction limit reached!
% 15.01/2.87 % (1398493)------------------------------
% 15.01/2.87 % (1398493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.87 % (1398493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.01/2.87 % (1398493)CaDiCaL version: 2.1.3
% 15.01/2.87 % (1398493)Termination reason: Instruction limit
% 15.01/2.87 % (1398493)Termination phase: Saturation
% 15.01/2.87 % (1398493)Time elapsed: 0.063 s
% 15.01/2.87 % (1398493)Peak memory usage: 12 MB
% 15.01/2.87 % (1398493)Instructions burned: 118 (million)
% 15.01/2.87 % (1398492)Instruction limit reached!
% 15.01/2.87 % (1398492)------------------------------
% 15.01/2.87 % (1398492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.87 % (1398492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.01/2.87 % (1398492)CaDiCaL version: 2.1.3
% 15.01/2.87 % (1398492)Termination reason: Instruction limit
% 15.01/2.87 % (1398492)Termination phase: Saturation
% 15.01/2.87 % (1398492)Time elapsed: 0.103 s
% 15.01/2.87 % (1398492)Peak memory usage: 12 MB
% 15.01/2.87 % (1398492)Instructions burned: 103 (million)
% 15.01/2.87 % (1398503)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3934452470:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.01/2.87 % (1398494)Instruction limit reached!
% 15.01/2.87 % (1398494)------------------------------
% 15.01/2.87 % (1398494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.87 % (1398494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.01/2.87 % (1398494)CaDiCaL version: 2.1.3
% 15.01/2.87 % (1398494)Termination reason: Instruction limit
% 15.01/2.87 % (1398494)Termination phase: Saturation
% 15.01/2.87 % (1398494)Time elapsed: 0.129 s
% 15.01/2.87 % (1398494)Peak memory usage: 13 MB
% 15.01/2.87 % (1398494)Instructions burned: 131 (million)
% 15.01/2.87 % (1398504)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1321208867:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.01/2.87 % TRYING [1]
% 15.01/2.87 % TRYING [2]
% 15.01/2.87 % (1398495)Instruction limit reached!
% 15.01/2.87 % (1398495)------------------------------
% 15.01/2.87 % (1398495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.87 % (1398495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.01/2.87 % (1398495)CaDiCaL version: 2.1.3
% 15.01/2.87 % (1398495)Termination reason: Instruction limit
% 15.01/2.87 % (1398495)Termination phase: Saturation
% 15.01/2.87 % (1398495)Time elapsed: 0.166 s
% 15.01/2.87 % (1398495)Peak memory usage: 13 MB
% 15.01/2.87 % (1398495)Instructions burned: 159 (million)
% 15.01/2.87 % (1398506)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4003916016:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.01/2.87 % TRYING [3]
% 15.01/2.87 % (1398508)ott-21_1_sil=16000:fs=off:random_seed=3953166477:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 15.01/2.87 % (1398504)Instruction limit reached!
% 15.01/2.87 % (1398504)------------------------------
% 15.01/2.87 % (1398504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.87 % (1398504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.47/8.87 % (1398504)CaDiCaL version: 2.1.3
% 59.47/8.87 % (1398504)Termination reason: Instruction limit
% 59.47/8.87 % (1398504)Termination phase: Saturation
% 59.47/8.87 % (1398504)Time elapsed: 0.137 s
% 59.47/8.87 % (1398504)Peak memory usage: 13 MB
% 59.47/8.87 % (1398504)Instructions burned: 131 (million)
% 59.47/8.87 % (1398511)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1638064054:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 59.47/8.87 % (1398508)Instruction limit reached!
% 59.47/8.87 % (1398508)------------------------------
% 59.47/8.87 % (1398508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.47/8.87 % (1398508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.47/8.87 % (1398508)CaDiCaL version: 2.1.3
% 59.47/8.87 % (1398508)Termination reason: Instruction limit
% 59.47/8.87 % (1398508)Termination phase: Saturation
% 59.47/8.87 % (1398508)Time elapsed: 0.157 s
% 59.47/8.87 % (1398508)Peak memory usage: 12 MB
% 59.47/8.87 % (1398508)Instructions burned: 181 (million)
% 59.47/8.87 % (1398513)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=850065761:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 59.47/8.87 % TRYING [1]
% 59.47/8.87 % TRYING [2]
% 59.47/8.87 % (1398503)Instruction limit reached!
% 59.47/8.87 % (1398503)------------------------------
% 59.47/8.87 % (1398503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.47/8.87 % (1398503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.47/8.87 % (1398503)CaDiCaL version: 2.1.3
% 59.47/8.87 % (1398503)Termination reason: Instruction limit
% 59.47/8.87 % (1398503)Termination phase: Finite model building SAT solving
% 59.47/8.87 % (1398503)Time elapsed: 0.362 s
% 59.47/8.87 % (1398503)Peak memory usage: 46 MB
% 59.47/8.87 % (1398503)Instructions burned: 716 (million)
% 59.47/8.87 % (1398515)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2219891700:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 59.47/8.87 % TRYING [3]
% 59.47/8.87 % TRYING [4]
% 59.47/8.87 % (1398511)Instruction limit reached!
% 59.47/8.87 % (1398511)------------------------------
% 59.47/8.87 % (1398511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.47/8.87 % (1398511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.47/8.87 % (1398511)CaDiCaL version: 2.1.3
% 59.47/8.87 % (1398511)Termination reason: Instruction limit
% 59.47/8.87 % (1398511)Termination phase: Saturation
% 59.47/8.87 % (1398511)Time elapsed: 0.449 s
% 59.47/8.87 % (1398511)Peak memory usage: 16 MB
% 59.47/8.87 % (1398511)Instructions burned: 477 (million)
% 59.47/8.87 % (1398517)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4214698378:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 59.47/8.87 % (1398506)Instruction limit reached!
% 59.47/8.87 % (1398506)------------------------------
% 59.47/8.87 % (1398506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.47/8.87 % (1398506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.47/8.87 % (1398506)CaDiCaL version: 2.1.3
% 59.47/8.87 % (1398506)Termination reason: Instruction limit
% 59.47/8.87 % (1398506)Termination phase: Saturation
% 59.47/8.87 % (1398506)Time elapsed: 0.641 s
% 59.47/8.87 % (1398506)Peak memory usage: 19 MB
% 59.47/8.87 % (1398506)Instructions burned: 684 (million)
% 59.47/8.87 % (1398520)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=411196340:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 59.47/8.87 % (1398513)Instruction limit reached!
% 59.47/8.87 % (1398513)------------------------------
% 59.47/8.87 % (1398513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.47/8.87 % (1398513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.47/8.87 % (1398513)CaDiCaL version: 2.1.3
% 59.47/8.87 % (1398513)Termination reason: Instruction limit
% 59.47/8.87 % (1398513)Termination phase: Finite model building SAT solving
% 59.47/8.87 % (1398513)Time elapsed: 0.642 s
% 59.47/8.87 % (1398513)Peak memory usage: 41 MB
% 59.47/8.87 % (1398513)Instructions burned: 866 (million)
% 59.47/8.87 % (1398522)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3593424035:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 59.47/8.87 % (1398515)Instruction limit reached!
% 59.47/8.87 % (1398515)------------------------------
% 59.47/8.87 % (1398515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.28/16.51 % (1398515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.28/16.51 % (1398515)CaDiCaL version: 2.1.3
% 114.28/16.51 % (1398515)Termination reason: Instruction limit
% 114.28/16.51 % (1398515)Termination phase: Saturation
% 114.28/16.51 % (1398515)Time elapsed: 0.616 s
% 114.28/16.51 % (1398515)Peak memory usage: 27 MB
% 114.28/16.51 % (1398515)Instructions burned: 1180 (million)
% 114.28/16.51 % (1398524)fmb+10_1_sil=64000:random_seed=362836026:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 114.28/16.51 % TRYING [1]
% 114.28/16.51 % TRYING [2]
% 114.28/16.51 % TRYING [3]
% 114.28/16.51 % (1398520)Instruction limit reached!
% 114.28/16.51 % (1398520)------------------------------
% 114.28/16.51 % (1398520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.28/16.51 % (1398520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.28/16.51 % (1398520)CaDiCaL version: 2.1.3
% 114.28/16.51 % (1398520)Termination reason: Instruction limit
% 114.28/16.51 % (1398520)Termination phase: Saturation
% 114.28/16.51 % (1398520)Time elapsed: 0.724 s
% 114.28/16.51 % (1398520)Peak memory usage: 19 MB
% 114.28/16.51 % (1398520)Instructions burned: 692 (million)
% 114.28/16.51 % (1398517)Instruction limit reached!
% 114.28/16.51 % (1398517)------------------------------
% 114.28/16.51 % (1398517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.28/16.51 % (1398517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.28/16.51 % (1398517)CaDiCaL version: 2.1.3
% 114.28/16.51 % (1398517)Termination reason: Instruction limit
% 114.28/16.51 % (1398517)Termination phase: Finite model building constraint generation
% 114.28/16.51 % (1398517)Time elapsed: 0.796 s
% 114.28/16.51 % (1398517)Peak memory usage: 107 MB
% 114.28/16.51 % (1398517)Instructions burned: 890 (million)
% 114.28/16.51 % (1398526)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3917683552:i=9515:nm=5_2983 on theBenchmark for (2983ds/9515Mi)
% 114.28/16.51 % (1398526)Cannot represent all propositional literals internally
% 114.28/16.51 % (1398526)Refutation not found, incomplete strategy
% 114.28/16.51 % (1398526)------------------------------
% 114.28/16.51 % (1398526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.28/16.51 % (1398526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.28/16.51 % (1398526)CaDiCaL version: 2.1.3
% 114.28/16.51 % (1398526)Termination reason: Refutation not found, incomplete strategy
% 114.28/16.51 % (1398526)Time elapsed: 0.014 s
% 114.28/16.51 % (1398526)Peak memory usage: 10 MB
% 114.28/16.51 % (1398526)Instructions burned: 15 (million)
% 114.28/16.51 % (1398526)------------------------------
% 114.28/16.51 % (1398526)------------------------------
% 114.28/16.51 % (1398528)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3247425130:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 114.28/16.51 % (1398529)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4255108538:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 114.28/16.51 % TRYING [8]
% 114.28/16.51 % (1398522)Instruction limit reached!
% 114.28/16.51 % (1398522)------------------------------
% 114.28/16.51 % (1398522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.28/16.51 % (1398522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.28/16.51 % (1398522)CaDiCaL version: 2.1.3
% 114.28/16.51 % (1398522)Termination reason: Instruction limit
% 114.28/16.51 % (1398522)Termination phase: Saturation
% 114.28/16.51 % (1398522)Time elapsed: 0.821 s
% 114.28/16.51 % (1398522)Peak memory usage: 20 MB
% 114.28/16.51 % (1398522)Instructions burned: 879 (million)
% 114.28/16.51 % (1398532)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3996958406:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 114.28/16.51 % TRYING [4]
% 114.28/16.51 % (1398528)Instruction limit reached!
% 114.28/16.51 % (1398528)------------------------------
% 114.28/16.51 % (1398528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.28/16.51 % (1398528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.28/16.51 % (1398528)CaDiCaL version: 2.1.3
% 114.28/16.51 % (1398528)Termination reason: Instruction limit
% 114.28/16.51 % (1398528)Termination phase: Finite model building constraint generation
% 114.28/16.51 % (1398528)Time elapsed: 0.652 s
% 114.28/16.51 % (1398528)Peak memory usage: 74 MB
% 114.28/16.51 % (1398528)Instructions burned: 921 (million)
% 114.28/16.51 % (1398534)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1541960251:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 114.28/16.51 % (1398534)Cannot represent all propositional literals internally
% 64.31/22.12 % (1398534)Refutation not found, incomplete strategy
% 64.31/22.12 % (1398534)------------------------------
% 64.31/22.12 % (1398534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398534)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398534)Termination reason: Refutation not found, incomplete strategy
% 64.31/22.12 % (1398534)Time elapsed: 0.014 s
% 64.31/22.12 % (1398534)Peak memory usage: 10 MB
% 64.31/22.12 % (1398534)Instructions burned: 15 (million)
% 64.31/22.12 % (1398534)------------------------------
% 64.31/22.12 % (1398534)------------------------------
% 64.31/22.12 % (1398536)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1418755490:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 64.31/22.12 % (1398536)Cannot represent all propositional literals internally
% 64.31/22.12 % (1398536)Refutation not found, incomplete strategy
% 64.31/22.12 % (1398536)------------------------------
% 64.31/22.12 % (1398536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398536)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398536)Termination reason: Refutation not found, incomplete strategy
% 64.31/22.12 % (1398536)Time elapsed: 0.051 s
% 64.31/22.12 % (1398536)Peak memory usage: 11 MB
% 64.31/22.12 % (1398536)Instructions burned: 60 (million)
% 64.31/22.12 % (1398536)------------------------------
% 64.31/22.12 % (1398536)------------------------------
% 64.31/22.12 % (1398538)ott-2_1_sil=16000:newcnf=on:random_seed=1349771671:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2974 on theBenchmark for (2974ds/869Mi)
% 64.31/22.12 % (1398538)Instruction limit reached!
% 64.31/22.12 % (1398538)------------------------------
% 64.31/22.12 % (1398538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398538)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398538)Termination reason: Instruction limit
% 64.31/22.12 % (1398538)Termination phase: Saturation
% 64.31/22.12 % (1398538)Time elapsed: 0.835 s
% 64.31/22.12 % (1398538)Peak memory usage: 22 MB
% 64.31/22.12 % (1398538)Instructions burned: 870 (million)
% 64.31/22.12 % (1398540)ott+10_1_sil=32000:tgt=ground:random_seed=3937178669:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 64.31/22.12 % (1398532)Instruction limit reached!
% 64.31/22.12 % (1398532)------------------------------
% 64.31/22.12 % (1398532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398532)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398532)Termination reason: Instruction limit
% 64.31/22.12 % (1398532)Termination phase: Saturation
% 64.31/22.12 % (1398532)Time elapsed: 1.534 s
% 64.31/22.12 % (1398532)Peak memory usage: 26 MB
% 64.31/22.12 % (1398532)Instructions burned: 1473 (million)
% 64.31/22.12 % (1398542)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=817096762:i=54282_2964 on theBenchmark for (2964ds/54282Mi)
% 64.31/22.12 % TRYING [1]
% 64.31/22.12 % TRYING [2]
% 64.31/22.12 % TRYING [3]
% 64.31/22.12 % TRYING [4]
% 64.31/22.12 % (1398529)Instruction limit reached!
% 64.31/22.12 % (1398529)------------------------------
% 64.31/22.12 % (1398529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398529)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398529)Termination reason: Instruction limit
% 64.31/22.12 % (1398529)Termination phase: Saturation
% 64.31/22.12 % (1398529)Time elapsed: 4.919 s
% 64.31/22.12 % (1398529)Peak memory usage: 55 MB
% 64.31/22.12 % (1398529)Instructions burned: 5132 (million)
% 64.31/22.12 % (1398544)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1763574836:i=3512:aac=none_2933 on theBenchmark for (2933ds/3512Mi)
% 64.31/22.12 % TRYING [5]
% 64.31/22.12 % (1398540)Instruction limit reached!
% 64.31/22.12 % (1398540)------------------------------
% 64.31/22.12 % (1398540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398540)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398540)Termination reason: Instruction limit
% 64.31/22.12 % (1398540)Termination phase: Saturation
% 64.31/22.12 % (1398540)Time elapsed: 4.995 s
% 64.31/22.12 % (1398540)Peak memory usage: 65 MB
% 64.31/22.12 % (1398540)Instructions burned: 5115 (million)
% 64.31/22.12 % (1398546)dis+21_1_sil=32000:sas=cadical:random_seed=1516461656:i=3773:amm=off_2915 on theBenchmark for (2915ds/3773Mi)
% 64.31/22.12 % (1398524)Instruction limit reached!
% 64.31/22.12 % (1398524)------------------------------
% 64.31/22.12 % (1398524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398524)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398524)Termination reason: Instruction limit
% 64.31/22.12 % (1398524)Termination phase: Finite model building SAT solving
% 64.31/22.12 % (1398524)Time elapsed: 8.675 s
% 64.31/22.12 % (1398524)Peak memory usage: 250 MB
% 64.31/22.12 % (1398524)Instructions burned: 22062 (million)
% 64.31/22.12 % (1398548)ott+11_1_sil=16000:gs=on:random_seed=1839401621:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2901 on theBenchmark for (2901ds/2251Mi)
% 64.31/22.12 % (1398544)Instruction limit reached!
% 64.31/22.12 % (1398544)------------------------------
% 64.31/22.12 % (1398544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398544)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398544)Termination reason: Instruction limit
% 64.31/22.12 % (1398544)Termination phase: Saturation
% 64.31/22.12 % (1398544)Time elapsed: 3.289 s
% 64.31/22.12 % (1398544)Peak memory usage: 43 MB
% 64.31/22.12 % (1398544)Instructions burned: 3513 (million)
% 64.31/22.12 % (1398550)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=529395483:fmbsr=1.6:i=67534_2900 on theBenchmark for (2900ds/67534Mi)
% 64.31/22.12 % (1398548)Instruction limit reached!
% 64.31/22.12 % (1398548)------------------------------
% 64.31/22.12 % (1398548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398548)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398548)Termination reason: Instruction limit
% 64.31/22.12 % (1398548)Termination phase: Saturation
% 64.31/22.12 % (1398548)Time elapsed: 0.931 s
% 64.31/22.12 % (1398548)Peak memory usage: 31 MB
% 64.31/22.12 % (1398548)Instructions burned: 2251 (million)
% 64.31/22.12 % (1398552)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2210118368:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2891 on theBenchmark for (2891ds/4591Mi)
% 64.31/22.12 % TRYING [5]
% 64.31/22.12 % (1398546)Instruction limit reached!
% 64.31/22.12 % (1398546)------------------------------
% 64.31/22.12 % (1398546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398546)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398546)Termination reason: Instruction limit
% 64.31/22.12 % (1398546)Termination phase: Saturation
% 64.31/22.12 % (1398546)Time elapsed: 3.466 s
% 64.31/22.12 % (1398546)Peak memory usage: 45 MB
% 64.31/22.12 % (1398546)Instructions burned: 3774 (million)
% 64.31/22.12 % (1398554)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1063310740:i=29340_2880 on theBenchmark for (2880ds/29340Mi)
% 64.31/22.12 % (1398552)Instruction limit reached!
% 64.31/22.12 % (1398552)------------------------------
% 64.31/22.12 % (1398552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398552)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398552)Termination reason: Instruction limit
% 64.31/22.12 % (1398552)Termination phase: Saturation
% 64.31/22.12 % (1398552)Time elapsed: 2.567 s
% 64.31/22.12 % (1398552)Peak memory usage: 71 MB
% 64.31/22.12 % (1398552)Instructions burned: 4593 (million)
% 64.31/22.12 % (1398556)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=327615188:i=5211_2865 on theBenchmark for (2865ds/5211Mi)
% 64.31/22.12 % TRYING [7]
% 64.31/22.12 % (1398556)Instruction limit reached!
% 64.31/22.12 % (1398556)------------------------------
% 64.31/22.12 % (1398556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398556)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398556)Termination reason: Instruction limit
% 64.31/22.12 % (1398556)Termination phase: Saturation
% 64.31/22.12 % (1398556)Time elapsed: 2.587 s
% 64.31/22.12 % (1398556)Peak memory usage: 56 MB
% 64.31/22.12 % (1398556)Instructions burned: 5211 (million)
% 64.31/22.12 % (1398558)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1591239920:i=5497:nm=2_2839 on theBenchmark for (2839ds/5497Mi)
% 64.31/22.12 % (1398558)Cannot represent all propositional literals internally
% 64.31/22.12 % (1398558)Refutation not found, incomplete strategy
% 64.31/22.12 % (1398558)------------------------------
% 64.31/22.12 % (1398558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398558)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398558)Termination reason: Refutation not found, incomplete strategy
% 64.31/22.12 % (1398558)Time elapsed: 0.007 s
% 64.31/22.12 % (1398558)Peak memory usage: 10 MB
% 64.31/22.12 % (1398558)Instructions burned: 15 (million)
% 64.31/22.12 % (1398558)------------------------------
% 64.31/22.12 % (1398558)------------------------------
% 64.31/22.12 % (1398560)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3738849100:fmbsr=2:i=46332_2838 on theBenchmark for (2838ds/46332Mi)
% 64.31/22.12 % TRYING [15]
% 64.31/22.12 % (1398490) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1398484-1398490"...
% 64.31/22.12 % (1398490)...printing done.
% 64.31/22.12 % (1398490)Refutation found. Thanks to Tanya!
% 64.31/22.12 % SZS status Unsatisfiable for theBenchmark
% 64.31/22.12 % SZS output start Proof for theBenchmark
% See solution above
% 64.31/22.12 % (1398490)------------------------------
% 64.31/22.12 % (1398490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.31/22.12 % (1398490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.31/22.12 % (1398490)CaDiCaL version: 2.1.3
% 64.31/22.12 % (1398490)Termination reason: Refutation
% 64.31/22.12 % (1398490)Time elapsed: 21.366 s
% 64.31/22.12 % (1398490)Peak memory usage: 227 MB
% 64.31/22.12 % (1398490)Instructions burned: 25701 (million)
% 64.31/22.12 % (1398484)Success in time 21.681 s
% 64.31/22.12 % Vampire exiting
%------------------------------------------------------------------------------