%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA015-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:27:43 PM UTC 2026
% Result : Unsatisfiable 53.55s 9.25s
% Output : Refutation 59.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 32
% Syntax : Number of formulae : 165 ( 165 unt; 4 def)
% Number of atoms : 165 ( 164 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-4 aty)
% Number of variables : 147 ( 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(holds(X0,X1),true,ifeq(holds(X2,X1),true,holds(and(X2,X0),X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f3,plain,
! [X2,X0,X1] : true = ifeq(holds(X0,X1),true,ifeq(holds(X2,X1),true,holds(and(X2,X0),X1),true),true),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : ifeq(differ(X0,table),true,ifeq(holds(empty,X1),true,ifeq(holds(clear(X0),X1),true,holds(holding(X0),do(pickup(X0),X1)),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f5,plain,
! [X0,X1] : true = ifeq(differ(X0,table),true,ifeq(holds(empty,X1),true,ifeq(holds(clear(X0),X1),true,holds(holding(X0),do(pickup(X0),X1)),true),true),true),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : ifeq(holds(on(X0,X1),X2),true,ifeq(holds(empty,X2),true,ifeq(holds(clear(X0),X2),true,holds(clear(X1),do(pickup(X0),X2)),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).
fof(f7,plain,
! [X2,X0,X1] : true = ifeq(holds(on(X0,X1),X2),true,ifeq(holds(empty,X2),true,ifeq(holds(clear(X0),X2),true,holds(clear(X1),do(pickup(X0),X2)),true),true),true),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] : ifeq(differ(X0,X1),true,ifeq(holds(on(X0,X2),X3),true,holds(on(X0,X2),do(pickup(X1),X3)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_3) ).
fof(f9,plain,
! [X2,X3,X0,X1] : true = ifeq(differ(X0,X1),true,ifeq(holds(on(X0,X2),X3),true,holds(on(X0,X2),do(pickup(X1),X3)),true),true),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X2,X0,X1] : ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(pickup(X1),X2)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f11,plain,
! [X2,X0,X1] : true = ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(pickup(X1),X2)),true),true),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X2,X0,X1] : ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(empty,do(putdown(X0,X2),X1)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_1) ).
fof(f13,plain,
! [X2,X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(empty,do(putdown(X0,X2),X1)),true),true),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X2,X0,X1] : ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(on(X0,X2),do(putdown(X0,X2),X1)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f15,plain,
! [X2,X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(on(X0,X2),do(putdown(X0,X2),X1)),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X2,X0,X1] : ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(clear(X0),do(putdown(X0,X2),X1)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_3) ).
fof(f17,plain,
! [X2,X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(clear(X0),do(putdown(X0,X2),X1)),true),true),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X4] : ifeq(holds(on(X0,X1),X2),true,holds(on(X0,X1),do(putdown(X3,X4),X2)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_4) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(holds(on(X0,X1),X2),true,holds(on(X0,X1),do(putdown(X3,X4),X2)),true),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X2,X3,X0,X1] : ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(putdown(X3,X1),X2)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_5) ).
fof(f21,plain,
! [X2,X3,X0,X1] : true = ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(putdown(X3,X1),X2)),true),true),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
! [X0,X1] : ifeq(differ(X0,X1),true,differ(X1,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f23,plain,
! [X0,X1] : true = ifeq(differ(X0,X1),true,differ(X1,X0),true),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
differ(a,b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f25,plain,
true = differ(a,b),
inference(reorient_equations,[],[f24]) ).
fof(f26,axiom,
differ(a,c) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f27,plain,
true = differ(a,c),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
differ(a,d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_d) ).
fof(f29,plain,
true = differ(a,d),
inference(reorient_equations,[],[f28]) ).
fof(f30,axiom,
differ(a,table) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f31,plain,
true = differ(a,table),
inference(reorient_equations,[],[f30]) ).
fof(f32,axiom,
differ(b,c) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f33,plain,
true = differ(b,c),
inference(reorient_equations,[],[f32]) ).
fof(f34,axiom,
differ(b,d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_d) ).
fof(f35,plain,
true = differ(b,d),
inference(reorient_equations,[],[f34]) ).
fof(f36,axiom,
differ(b,table) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_table) ).
fof(f37,plain,
true = differ(b,table),
inference(reorient_equations,[],[f36]) ).
fof(f40,axiom,
differ(c,table) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f41,plain,
true = differ(c,table),
inference(reorient_equations,[],[f40]) ).
fof(f42,axiom,
differ(d,table) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).
fof(f43,plain,
true = differ(d,table),
inference(reorient_equations,[],[f42]) ).
fof(f48,axiom,
holds(on(c,d),s0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f49,plain,
true = holds(on(c,d),s0),
inference(reorient_equations,[],[f48]) ).
fof(f52,axiom,
holds(clear(a),s0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f53,plain,
true = holds(clear(a),s0),
inference(reorient_equations,[],[f52]) ).
fof(f54,axiom,
holds(clear(b),s0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f55,plain,
true = holds(clear(b),s0),
inference(reorient_equations,[],[f54]) ).
fof(f56,axiom,
holds(clear(c),s0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f57,plain,
true = holds(clear(c),s0),
inference(reorient_equations,[],[f56]) ).
fof(f58,axiom,
holds(empty,s0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f59,plain,
true = holds(empty,s0),
inference(reorient_equations,[],[f58]) ).
fof(f60,axiom,
! [X0] : holds(clear(table),X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clear_table) ).
fof(f61,plain,
! [X0] : true = holds(clear(table),X0),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
! [X0] : holds(and(on(a,b),on(b,d)),X0) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ABD) ).
fof(f63,plain,
! [X0] : true != holds(and(on(a,b),on(b,d)),X0),
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF0 = on(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f65,plain,
on(a,b) = sF0,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF1 = on(b,d),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f67,plain,
on(b,d) = sF1,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF2 = and(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f69,plain,
and(sF0,sF1) = sF2,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
! [X0] : sF3(X0) = holds(sF2,X0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f71,plain,
! [X0] : holds(sF2,X0) = sF3(X0),
inference(reorient_equations,[],[f70]) ).
fof(f72,plain,
! [X0] : true != sF3(X0),
inference(definition_folding,[],[f63,f71,f69,f67,f65]) ).
fof(f74,plain,
! [X0] : true = ifeq(holds(holding(a),X0),true,ifeq(holds(clear(b),X0),true,holds(sF0,do(putdown(a,b),X0)),true),true),
inference(superposition,[],[f15,f65]) ).
fof(f77,plain,
! [X0] : true = ifeq(holds(holding(b),X0),true,ifeq(holds(clear(d),X0),true,holds(sF1,do(putdown(b,d),X0)),true),true),
inference(superposition,[],[f15,f67]) ).
fof(f78,plain,
! [X0,X1] : true = ifeq(differ(b,X0),true,ifeq(holds(sF1,X1),true,holds(sF1,do(pickup(X0),X1)),true),true),
inference(superposition,[],[f9,f67]) ).
fof(f93,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(a),X0),true,holds(clear(a),do(putdown(X1,d),X0)),true),true),
inference(superposition,[],[f21,f29]) ).
fof(f104,plain,
! [X0,X1] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(putdown(X1,d),X0)),true),
inference(forward_demodulation,[],[f93,f1]) ).
fof(f109,plain,
! [X0] : true = ifeq(holds(sF1,X0),true,ifeq(holds(sF0,X0),true,holds(sF2,X0),true),true),
inference(superposition,[],[f3,f69]) ).
fof(f110,plain,
! [X0] : true = ifeq(holds(sF1,X0),true,ifeq(holds(sF0,X0),true,sF3(X0),true),true),
inference(forward_demodulation,[],[f109,f71]) ).
fof(f114,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(b),X0)),true),true),
inference(superposition,[],[f11,f25]) ).
fof(f115,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(c),X0)),true),true),
inference(superposition,[],[f11,f27]) ).
fof(f118,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(c),X0)),true),true),
inference(superposition,[],[f11,f33]) ).
fof(f119,plain,
! [X0] : true = ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(c),X0)),true),
inference(forward_demodulation,[],[f118,f1]) ).
fof(f122,plain,
! [X0] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(c),X0)),true),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f123,plain,
! [X0] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(b),X0)),true),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f126,plain,
true = ifeq(true,true,differ(b,a),true),
inference(superposition,[],[f23,f25]) ).
fof(f129,plain,
true = ifeq(true,true,differ(d,b),true),
inference(superposition,[],[f23,f35]) ).
fof(f138,plain,
true = differ(d,b),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f141,plain,
true = differ(b,a),
inference(forward_demodulation,[],[f126,f1]) ).
fof(f150,plain,
! [X2,X0,X1] : true = ifeq(holds(sF1,X0),true,holds(sF1,do(putdown(X1,X2),X0)),true),
inference(superposition,[],[f19,f67]) ).
fof(f154,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(a),X0),true,holds(clear(a),do(putdown(X1,table),X0)),true),true),
inference(superposition,[],[f21,f31]) ).
fof(f157,plain,
! [X0,X1] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(putdown(X1,table),X0)),true),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f164,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(b),X0),true,holds(clear(b),do(putdown(X1,table),X0)),true),true),
inference(superposition,[],[f21,f37]) ).
fof(f167,plain,
! [X0,X1] : true = ifeq(holds(clear(b),X0),true,holds(clear(b),do(putdown(X1,table),X0)),true),
inference(forward_demodulation,[],[f164,f1]) ).
fof(f174,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,table),X0)),true),true),
inference(superposition,[],[f21,f43]) ).
fof(f177,plain,
! [X0,X1] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,table),X0)),true),
inference(forward_demodulation,[],[f174,f1]) ).
fof(f230,plain,
! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(true,true,holds(empty,do(putdown(X0,table),X1)),true),true),
inference(superposition,[],[f13,f61]) ).
fof(f245,plain,
! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,holds(empty,do(putdown(X0,table),X1)),true),
inference(forward_demodulation,[],[f230,f1]) ).
fof(f253,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(empty,X0),true,ifeq(holds(clear(a),X0),true,holds(holding(a),do(pickup(a),X0)),true),true),true),
inference(superposition,[],[f5,f31]) ).
fof(f254,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(empty,X0),true,ifeq(holds(clear(b),X0),true,holds(holding(b),do(pickup(b),X0)),true),true),true),
inference(superposition,[],[f5,f37]) ).
fof(f267,plain,
! [X0] : true = ifeq(holds(empty,X0),true,ifeq(holds(clear(b),X0),true,holds(holding(b),do(pickup(b),X0)),true),true),
inference(forward_demodulation,[],[f254,f1]) ).
fof(f268,plain,
! [X0] : true = ifeq(holds(empty,X0),true,ifeq(holds(clear(a),X0),true,holds(holding(a),do(pickup(a),X0)),true),true),
inference(forward_demodulation,[],[f253,f1]) ).
fof(f309,plain,
true = ifeq(differ(c,table),true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(c),do(pickup(c),s0)),true),true),true),
inference(superposition,[],[f5,f57]) ).
fof(f326,plain,
true = ifeq(differ(c,table),true,ifeq(holds(empty,s0),true,holds(holding(c),do(pickup(c),s0)),true),true),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f328,plain,
true = ifeq(differ(c,table),true,ifeq(true,true,holds(holding(c),do(pickup(c),s0)),true),true),
inference(forward_demodulation,[],[f326,f59]) ).
fof(f330,plain,
true = ifeq(differ(c,table),true,holds(holding(c),do(pickup(c),s0)),true),
inference(forward_demodulation,[],[f328,f1]) ).
fof(f331,plain,
true = ifeq(true,true,holds(holding(c),do(pickup(c),s0)),true),
inference(forward_demodulation,[],[f330,f41]) ).
fof(f332,plain,
true = holds(holding(c),do(pickup(c),s0)),
inference(forward_demodulation,[],[f331,f1]) ).
fof(f358,plain,
true = ifeq(true,true,holds(empty,do(putdown(c,table),do(pickup(c),s0))),true),
inference(superposition,[],[f245,f332]) ).
fof(f359,plain,
true = holds(empty,do(putdown(c,table),do(pickup(c),s0))),
inference(forward_demodulation,[],[f358,f1]) ).
fof(f369,plain,
true = ifeq(true,true,ifeq(holds(empty,s0),true,ifeq(holds(clear(c),s0),true,holds(clear(d),do(pickup(c),s0)),true),true),true),
inference(superposition,[],[f7,f49]) ).
fof(f376,plain,
true = ifeq(holds(empty,s0),true,ifeq(holds(clear(c),s0),true,holds(clear(d),do(pickup(c),s0)),true),true),
inference(forward_demodulation,[],[f369,f1]) ).
fof(f378,plain,
true = ifeq(holds(empty,s0),true,ifeq(true,true,holds(clear(d),do(pickup(c),s0)),true),true),
inference(forward_demodulation,[],[f376,f57]) ).
fof(f379,plain,
true = ifeq(holds(empty,s0),true,holds(clear(d),do(pickup(c),s0)),true),
inference(forward_demodulation,[],[f378,f1]) ).
fof(f380,plain,
true = ifeq(true,true,holds(clear(d),do(pickup(c),s0)),true),
inference(forward_demodulation,[],[f379,f59]) ).
fof(f381,plain,
true = holds(clear(d),do(pickup(c),s0)),
inference(forward_demodulation,[],[f380,f1]) ).
fof(f447,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(a),X0)),true),true),
inference(superposition,[],[f11,f141]) ).
fof(f452,plain,
! [X0] : true = ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(a),X0)),true),
inference(forward_demodulation,[],[f447,f1]) ).
fof(f505,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(d),X0),true,holds(clear(d),do(pickup(b),X0)),true),true),
inference(superposition,[],[f11,f138]) ).
fof(f510,plain,
! [X0] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(pickup(b),X0)),true),
inference(forward_demodulation,[],[f505,f1]) ).
fof(f787,plain,
true = ifeq(true,true,holds(clear(a),do(pickup(c),s0)),true),
inference(superposition,[],[f122,f53]) ).
fof(f792,plain,
true = holds(clear(a),do(pickup(c),s0)),
inference(forward_demodulation,[],[f787,f1]) ).
fof(f799,plain,
true = ifeq(true,true,holds(clear(b),do(pickup(c),s0)),true),
inference(superposition,[],[f119,f55]) ).
fof(f804,plain,
true = holds(clear(b),do(pickup(c),s0)),
inference(forward_demodulation,[],[f799,f1]) ).
fof(f1722,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(sF1,X0),true,holds(sF1,do(pickup(a),X0)),true),true),
inference(superposition,[],[f78,f141]) ).
fof(f1727,plain,
! [X0] : true = ifeq(holds(sF1,X0),true,holds(sF1,do(pickup(a),X0)),true),
inference(forward_demodulation,[],[f1722,f1]) ).
fof(f1769,plain,
! [X0] : true = ifeq(true,true,holds(clear(a),do(putdown(X0,table),do(pickup(c),s0))),true),
inference(superposition,[],[f157,f792]) ).
fof(f1775,plain,
! [X0] : true = holds(clear(a),do(putdown(X0,table),do(pickup(c),s0))),
inference(forward_demodulation,[],[f1769,f1]) ).
fof(f2257,plain,
! [X0] : true = ifeq(true,true,holds(clear(b),do(putdown(X0,table),do(pickup(c),s0))),true),
inference(superposition,[],[f167,f804]) ).
fof(f2267,plain,
! [X0] : true = holds(clear(b),do(putdown(X0,table),do(pickup(c),s0))),
inference(forward_demodulation,[],[f2257,f1]) ).
fof(f2774,plain,
! [X0] : true = ifeq(true,true,holds(clear(d),do(putdown(X0,table),do(pickup(c),s0))),true),
inference(superposition,[],[f177,f381]) ).
fof(f2777,plain,
! [X0] : true = holds(clear(d),do(putdown(X0,table),do(pickup(c),s0))),
inference(forward_demodulation,[],[f2774,f1]) ).
fof(f2997,plain,
true = ifeq(true,true,ifeq(holds(clear(b),do(putdown(c,table),do(pickup(c),s0))),true,holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true),true),
inference(superposition,[],[f267,f359]) ).
fof(f3026,plain,
true = ifeq(holds(clear(b),do(putdown(c,table),do(pickup(c),s0))),true,holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true),
inference(forward_demodulation,[],[f2997,f1]) ).
fof(f3034,plain,
true = ifeq(true,true,holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true),
inference(forward_demodulation,[],[f3026,f2267]) ).
fof(f3042,plain,
true = holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),
inference(forward_demodulation,[],[f3034,f1]) ).
fof(f3047,plain,
true = ifeq(true,true,ifeq(holds(clear(d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true,holds(sF1,do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),true),
inference(superposition,[],[f77,f3042]) ).
fof(f3052,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true,holds(clear(b),do(putdown(b,X0),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),true),
inference(superposition,[],[f17,f3042]) ).
fof(f3053,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true,holds(empty,do(putdown(b,X0),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),true),
inference(superposition,[],[f13,f3042]) ).
fof(f3064,plain,
! [X0] : true = ifeq(holds(clear(X0),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true,holds(empty,do(putdown(b,X0),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(forward_demodulation,[],[f3053,f1]) ).
fof(f3065,plain,
! [X0] : true = ifeq(holds(clear(X0),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true,holds(clear(b),do(putdown(b,X0),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(forward_demodulation,[],[f3052,f1]) ).
fof(f3070,plain,
true = ifeq(holds(clear(d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))),true,holds(sF1,do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(forward_demodulation,[],[f3047,f1]) ).
fof(f3386,plain,
! [X0] : true = ifeq(true,true,holds(clear(d),do(pickup(b),do(putdown(X0,table),do(pickup(c),s0)))),true),
inference(superposition,[],[f510,f2777]) ).
fof(f3389,plain,
! [X0] : true = holds(clear(d),do(pickup(b),do(putdown(X0,table),do(pickup(c),s0)))),
inference(forward_demodulation,[],[f3386,f1]) ).
fof(f3391,plain,
true = ifeq(true,true,holds(sF1,do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(backward_demodulation,[],[f3070,f3389]) ).
fof(f3393,plain,
true = holds(sF1,do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),
inference(forward_demodulation,[],[f3391,f1]) ).
fof(f3402,plain,
true = ifeq(true,true,holds(sF1,do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),true),
inference(superposition,[],[f1727,f3393]) ).
fof(f3413,plain,
true = holds(sF1,do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),
inference(forward_demodulation,[],[f3402,f1]) ).
fof(f6150,plain,
! [X0] : true = ifeq(true,true,holds(clear(a),do(pickup(b),do(putdown(X0,table),do(pickup(c),s0)))),true),
inference(superposition,[],[f123,f1775]) ).
fof(f6192,plain,
! [X0] : true = holds(clear(a),do(pickup(b),do(putdown(X0,table),do(pickup(c),s0)))),
inference(forward_demodulation,[],[f6150,f1]) ).
fof(f7256,plain,
! [X0,X1] : true = ifeq(true,true,holds(sF1,do(putdown(X0,X1),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(superposition,[],[f150,f3413]) ).
fof(f7277,plain,
! [X0,X1] : true = holds(sF1,do(putdown(X0,X1),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),
inference(forward_demodulation,[],[f7256,f1]) ).
fof(f15085,plain,
true = ifeq(true,true,holds(clear(b),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(superposition,[],[f3065,f3389]) ).
fof(f15091,plain,
true = holds(clear(b),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),
inference(forward_demodulation,[],[f15085,f1]) ).
fof(f15172,plain,
true = ifeq(true,true,holds(clear(b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),true),
inference(superposition,[],[f452,f15091]) ).
fof(f15207,plain,
true = holds(clear(b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),
inference(forward_demodulation,[],[f15172,f1]) ).
fof(f17678,plain,
true = ifeq(true,true,holds(empty,do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(superposition,[],[f3064,f3389]) ).
fof(f17683,plain,
true = holds(empty,do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),
inference(forward_demodulation,[],[f17678,f1]) ).
fof(f17828,plain,
true = ifeq(true,true,ifeq(holds(clear(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true,holds(holding(a),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),true),true),
inference(superposition,[],[f268,f17683]) ).
fof(f17841,plain,
true = ifeq(holds(clear(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))),true,holds(holding(a),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),true),
inference(forward_demodulation,[],[f17828,f1]) ).
fof(f27293,plain,
! [X0,X1] : true = ifeq(true,true,holds(clear(a),do(putdown(X1,d),do(pickup(b),do(putdown(X0,table),do(pickup(c),s0))))),true),
inference(superposition,[],[f104,f6192]) ).
fof(f27346,plain,
! [X0,X1] : true = holds(clear(a),do(putdown(X1,d),do(pickup(b),do(putdown(X0,table),do(pickup(c),s0))))),
inference(forward_demodulation,[],[f27293,f1]) ).
fof(f27357,plain,
true = ifeq(true,true,holds(holding(a),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),true),
inference(backward_demodulation,[],[f17841,f27346]) ).
fof(f27365,plain,
true = holds(holding(a),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),
inference(forward_demodulation,[],[f27357,f1]) ).
fof(f27408,plain,
true = ifeq(true,true,ifeq(holds(clear(b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),true,holds(sF0,do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true),true),
inference(superposition,[],[f74,f27365]) ).
fof(f27435,plain,
true = ifeq(holds(clear(b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))))),true,holds(sF0,do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(forward_demodulation,[],[f27408,f1]) ).
fof(f27438,plain,
true = ifeq(true,true,holds(sF0,do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(forward_demodulation,[],[f27435,f15207]) ).
fof(f27441,plain,
true = holds(sF0,do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),
inference(forward_demodulation,[],[f27438,f1]) ).
fof(f27482,plain,
true = ifeq(holds(sF1,do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true,ifeq(true,true,sF3(do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true),true),
inference(superposition,[],[f110,f27441]) ).
fof(f27505,plain,
true = ifeq(holds(sF1,do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true,sF3(do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(forward_demodulation,[],[f27482,f1]) ).
fof(f27509,plain,
true = ifeq(true,true,sF3(do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(forward_demodulation,[],[f27505,f7277]) ).
fof(f27511,plain,
true = sF3(do(putdown(a,b),do(pickup(a),do(putdown(b,d),do(pickup(b),do(putdown(c,table),do(pickup(c),s0))))))),
inference(forward_demodulation,[],[f27509,f1]) ).
fof(f27513,plain,
$false,
inference(forward_subsumption_resolution,[],[f27511,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA015-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:09:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.55/9.25 % (3930186)Detected a unit-equality problem, will run specialized UEQ schedule.
% 53.55/9.25 % (3930191)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1257816608:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 53.55/9.25 % (3930193)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3699073456:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 53.55/9.25 % (3930195)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3740992130:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 53.55/9.25 % (3930194)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4122216216:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 53.55/9.25 % (3930192)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=887011746:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 53.55/9.25 % (3930197)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3520464298:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 53.55/9.25 % (3930196)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3079359619:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 53.55/9.25 % (3930194)Instruction limit reached!
% 53.55/9.25 % (3930194)------------------------------
% 53.55/9.25 % (3930194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930194)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930194)Termination reason: Instruction limit
% 53.55/9.25 % (3930194)Termination phase: Saturation
% 53.55/9.25 % (3930194)Time elapsed: 0.074 s
% 53.55/9.25 % (3930194)Peak memory usage: 89 MB
% 53.55/9.25 % (3930194)Instructions burned: 138 (million)
% 53.55/9.25 % (3930195)Instruction limit reached!
% 53.55/9.25 % (3930195)------------------------------
% 53.55/9.25 % (3930195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930195)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930195)Termination reason: Instruction limit
% 53.55/9.25 % (3930195)Termination phase: Saturation
% 53.55/9.25 % (3930195)Time elapsed: 0.093 s
% 53.55/9.25 % (3930195)Peak memory usage: 90 MB
% 53.55/9.25 % (3930195)Instructions burned: 182 (million)
% 53.55/9.25 % (3930196)Instruction limit reached!
% 53.55/9.25 % (3930196)------------------------------
% 53.55/9.25 % (3930196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930196)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930196)Termination reason: Instruction limit
% 53.55/9.25 % (3930196)Termination phase: Saturation
% 53.55/9.25 % (3930196)Time elapsed: 0.152 s
% 53.55/9.25 % (3930196)Peak memory usage: 94 MB
% 53.55/9.25 % (3930196)Instructions burned: 258 (million)
% 53.55/9.25 % (3930205)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2435192000:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 53.55/9.25 % (3930206)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1368375865:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 53.55/9.25 % (3930207)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1573637227:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 53.55/9.25 % (3930207)Instruction limit reached!
% 53.55/9.25 % (3930207)------------------------------
% 53.55/9.25 % (3930207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930207)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930207)Termination reason: Instruction limit
% 53.55/9.25 % (3930207)Termination phase: Saturation
% 53.55/9.25 % (3930207)Time elapsed: 0.061 s
% 53.55/9.25 % (3930207)Peak memory usage: 88 MB
% 53.55/9.25 % (3930207)Instructions burned: 218 (million)
% 53.55/9.25 % (3930211)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1566145452:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 53.55/9.25 % (3930211)Instruction limit reached!
% 53.55/9.25 % (3930211)------------------------------
% 53.55/9.25 % (3930211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930211)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930211)Termination reason: Instruction limit
% 53.55/9.25 % (3930211)Termination phase: Saturation
% 53.55/9.25 % (3930211)Time elapsed: 0.096 s
% 53.55/9.25 % (3930211)Peak memory usage: 96 MB
% 53.55/9.25 % (3930211)Instructions burned: 318 (million)
% 53.55/9.25 % (3930197)Instruction limit reached!
% 53.55/9.25 % (3930197)------------------------------
% 53.55/9.25 % (3930197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930197)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930197)Termination reason: Instruction limit
% 53.55/9.25 % (3930197)Termination phase: Saturation
% 53.55/9.25 % (3930197)Time elapsed: 0.572 s
% 53.55/9.25 % (3930197)Peak memory usage: 104 MB
% 53.55/9.25 % (3930197)Instructions burned: 1189 (million)
% 53.55/9.25 % (3930213)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3964466179:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 53.55/9.25 % (3930214)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=207763783:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 53.55/9.25 % (3930205)Instruction limit reached!
% 53.55/9.25 % (3930205)------------------------------
% 53.55/9.25 % (3930205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930205)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930205)Termination reason: Instruction limit
% 53.55/9.25 % (3930205)Termination phase: Saturation
% 53.55/9.25 % (3930205)Time elapsed: 1.273 s
% 53.55/9.25 % (3930205)Peak memory usage: 141 MB
% 53.55/9.25 % (3930205)Instructions burned: 2052 (million)
% 53.55/9.25 % (3930217)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4032527395:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 53.55/9.25 % (3930214)Instruction limit reached!
% 53.55/9.25 % (3930214)------------------------------
% 53.55/9.25 % (3930214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930214)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930214)Termination reason: Instruction limit
% 53.55/9.25 % (3930214)Termination phase: Saturation
% 53.55/9.25 % (3930214)Time elapsed: 1.502 s
% 53.55/9.25 % (3930214)Peak memory usage: 151 MB
% 53.55/9.25 % (3930214)Instructions burned: 2837 (million)
% 53.55/9.25 % (3930219)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2476709879:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2976 on theBenchmark for (2976ds/11832Mi)
% 53.55/9.25 % (3930206)Instruction limit reached!
% 53.55/9.25 % (3930206)------------------------------
% 53.55/9.25 % (3930206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930206)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930206)Termination reason: Instruction limit
% 53.55/9.25 % (3930206)Termination phase: Saturation
% 53.55/9.25 % (3930206)Time elapsed: 2.973 s
% 53.55/9.25 % (3930206)Peak memory usage: 168 MB
% 53.55/9.25 % (3930206)Instructions burned: 4949 (million)
% 53.55/9.25 % (3930221)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=3843733245:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 53.55/9.25 % (3930213)Instruction limit reached!
% 53.55/9.25 % (3930213)------------------------------
% 53.55/9.25 % (3930213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930213)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930213)Termination reason: Instruction limit
% 53.55/9.25 % (3930213)Termination phase: Saturation
% 53.55/9.25 % (3930213)Time elapsed: 3.745 s
% 53.55/9.25 % (3930213)Peak memory usage: 241 MB
% 53.55/9.25 % (3930213)Instructions burned: 12125 (million)
% 53.55/9.25 % (3930223)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1362836177:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2954 on theBenchmark for (2954ds/6225Mi)
% 53.55/9.25 % (3930221)Instruction limit reached!
% 53.55/9.25 % (3930221)------------------------------
% 53.55/9.25 % (3930221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930221)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930221)Termination reason: Instruction limit
% 53.55/9.25 % (3930221)Termination phase: Saturation
% 53.55/9.25 % (3930221)Time elapsed: 1.413 s
% 53.55/9.25 % (3930221)Peak memory usage: 141 MB
% 53.55/9.25 % (3930221)Instructions burned: 2280 (million)
% 53.55/9.25 % (3930225)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=2369649351:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2950 on theBenchmark for (2950ds/21755Mi)
% 53.55/9.25 % (3930223)Instruction limit reached!
% 53.55/9.25 % (3930223)------------------------------
% 53.55/9.25 % (3930223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.55/9.25 % (3930223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.55/9.25 % (3930223)CaDiCaL version: 2.1.3
% 53.55/9.25 % (3930223)Termination reason: Instruction limit
% 53.55/9.25 % (3930223)Termination phase: Saturation
% 53.55/9.25 % (3930223)Time elapsed: 1.909 s
% 53.55/9.25 % (3930223)Peak memory usage: 180 MB
% 53.55/9.25 % (3930223)Instructions burned: 6225 (million)
% 53.55/9.25 % (3930227)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=455876746:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2934 on theBenchmark for (2934ds/16427Mi)
% 53.55/9.25 % (3930219)First to succeed.
% 53.55/9.25 % (3930219)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3930186"
% 53.55/9.25 % (3930219)Refutation found. Thanks to Tanya!
% 53.55/9.25 % SZS status Unsatisfiable for theBenchmark
% 53.55/9.25 % SZS output start Proof for theBenchmark
% See solution above
% 59.91/9.35 % (3930219)------------------------------
% 59.91/9.35 % (3930219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.91/9.35 % (3930219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.91/9.35 % (3930219)CaDiCaL version: 2.1.3
% 59.91/9.35 % (3930219)Termination reason: Refutation
% 59.91/9.35 % (3930219)Time elapsed: 5.534 s
% 59.91/9.35 % (3930219)Peak memory usage: 212 MB
% 59.91/9.35 % (3930219)Instructions burned: 9189 (million)
% 59.91/9.35 % (3930219)------------------------------
% 59.91/9.35 % (3930219)------------------------------
% 59.91/9.35 % (3930186)Success in time 8.393 s
% 59.91/9.35 % Vampire exiting
%------------------------------------------------------------------------------