%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA014-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 22.77s 4.09s
% Output : Refutation 23.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 116 ( 116 unt; 4 def)
% Number of atoms : 116 ( 115 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-4 aty)
% Number of variables : 103 ( 103 !; 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(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(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(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(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(f62,negated_conjecture,
! [X0] : holds(and(on(a,b),on(b,c)),X0) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ABC) ).
fof(f63,plain,
! [X0] : true != holds(and(on(a,b),on(b,c)),X0),
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF0 = holds(empty,s0),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f65,plain,
holds(empty,s0) = sF0,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
true = sF0,
inference(definition_folding,[],[f59,f65]) ).
fof(f67,definition,
sF1 = on(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f68,plain,
on(a,b) = sF1,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF2 = on(b,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f70,plain,
on(b,c) = sF2,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF3 = and(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f72,plain,
and(sF1,sF2) = sF3,
inference(reorient_equations,[],[f71]) ).
fof(f73,plain,
! [X0] : true != holds(sF3,X0),
inference(definition_folding,[],[f63,f72,f70,f68]) ).
fof(f74,plain,
true = holds(empty,s0),
inference(forward_demodulation,[],[f65,f66]) ).
fof(f75,plain,
! [X0] : true = ifeq(holds(holding(a),X0),true,ifeq(holds(clear(b),X0),true,holds(sF1,do(putdown(a,b),X0)),true),true),
inference(superposition,[],[f15,f68]) ).
fof(f78,plain,
! [X0,X1] : true = ifeq(differ(b,X0),true,ifeq(holds(sF2,X1),true,holds(sF2,do(pickup(X0),X1)),true),true),
inference(superposition,[],[f9,f70]) ).
fof(f80,plain,
! [X2,X0,X1] : true = ifeq(holds(sF2,X0),true,holds(sF2,do(putdown(X1,X2),X0)),true),
inference(superposition,[],[f19,f70]) ).
fof(f82,plain,
true = ifeq(true,true,differ(b,a),true),
inference(superposition,[],[f23,f25]) ).
fof(f85,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(f86,plain,
! [X0] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(b),X0)),true),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f89,plain,
true = differ(b,a),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f92,plain,
true = ifeq(true,true,differ(c,b),true),
inference(superposition,[],[f23,f33]) ).
fof(f99,plain,
true = differ(c,b),
inference(forward_demodulation,[],[f92,f1]) ).
fof(f114,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(a),X0),true,holds(clear(a),do(putdown(X1,c),X0)),true),true),
inference(superposition,[],[f21,f27]) ).
fof(f117,plain,
! [X0,X1] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(putdown(X1,c),X0)),true),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f187,plain,
! [X0] : true = ifeq(holds(sF2,X0),true,ifeq(holds(sF1,X0),true,holds(sF3,X0),true),true),
inference(superposition,[],[f3,f72]) ).
fof(f190,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(f199,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,[],[f190,f1]) ).
fof(f229,plain,
true = ifeq(differ(b,table),true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(b),do(pickup(b),s0)),true),true),true),
inference(superposition,[],[f5,f55]) ).
fof(f246,plain,
true = ifeq(differ(b,table),true,ifeq(holds(empty,s0),true,holds(holding(b),do(pickup(b),s0)),true),true),
inference(forward_demodulation,[],[f229,f1]) ).
fof(f248,plain,
true = ifeq(differ(b,table),true,ifeq(true,true,holds(holding(b),do(pickup(b),s0)),true),true),
inference(forward_demodulation,[],[f246,f74]) ).
fof(f250,plain,
true = ifeq(differ(b,table),true,holds(holding(b),do(pickup(b),s0)),true),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f251,plain,
true = ifeq(true,true,holds(holding(b),do(pickup(b),s0)),true),
inference(forward_demodulation,[],[f250,f37]) ).
fof(f252,plain,
true = holds(holding(b),do(pickup(b),s0)),
inference(forward_demodulation,[],[f251,f1]) ).
fof(f257,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(b),s0)),true,holds(clear(b),do(putdown(b,X0),do(pickup(b),s0))),true),true),
inference(superposition,[],[f17,f252]) ).
fof(f258,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(b),s0)),true,holds(empty,do(putdown(b,X0),do(pickup(b),s0))),true),true),
inference(superposition,[],[f13,f252]) ).
fof(f259,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(b),s0)),true,holds(on(b,X0),do(putdown(b,X0),do(pickup(b),s0))),true),true),
inference(superposition,[],[f15,f252]) ).
fof(f264,plain,
! [X0] : true = ifeq(holds(clear(X0),do(pickup(b),s0)),true,holds(on(b,X0),do(putdown(b,X0),do(pickup(b),s0))),true),
inference(forward_demodulation,[],[f259,f1]) ).
fof(f265,plain,
! [X0] : true = ifeq(holds(clear(X0),do(pickup(b),s0)),true,holds(empty,do(putdown(b,X0),do(pickup(b),s0))),true),
inference(forward_demodulation,[],[f258,f1]) ).
fof(f266,plain,
! [X0] : true = ifeq(holds(clear(X0),do(pickup(b),s0)),true,holds(clear(b),do(putdown(b,X0),do(pickup(b),s0))),true),
inference(forward_demodulation,[],[f257,f1]) ).
fof(f281,plain,
true = ifeq(holds(clear(c),do(pickup(b),s0)),true,holds(sF2,do(putdown(b,c),do(pickup(b),s0))),true),
inference(superposition,[],[f264,f70]) ).
fof(f389,plain,
! [X0] : true = ifeq(differ(c,X0),true,ifeq(true,true,holds(clear(c),do(pickup(X0),s0)),true),true),
inference(superposition,[],[f11,f57]) ).
fof(f404,plain,
! [X0] : true = ifeq(differ(c,X0),true,holds(clear(c),do(pickup(X0),s0)),true),
inference(forward_demodulation,[],[f389,f1]) ).
fof(f883,plain,
true = ifeq(true,true,holds(clear(a),do(pickup(b),s0)),true),
inference(superposition,[],[f86,f53]) ).
fof(f886,plain,
true = holds(clear(a),do(pickup(b),s0)),
inference(forward_demodulation,[],[f883,f1]) ).
fof(f1140,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(a),X0)),true),true),
inference(superposition,[],[f11,f89]) ).
fof(f1141,plain,
! [X0] : true = ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(a),X0)),true),
inference(forward_demodulation,[],[f1140,f1]) ).
fof(f1467,plain,
true = ifeq(true,true,holds(clear(c),do(pickup(b),s0)),true),
inference(superposition,[],[f404,f99]) ).
fof(f1480,plain,
true = holds(clear(c),do(pickup(b),s0)),
inference(forward_demodulation,[],[f1467,f1]) ).
fof(f1482,plain,
true = ifeq(true,true,holds(sF2,do(putdown(b,c),do(pickup(b),s0))),true),
inference(backward_demodulation,[],[f281,f1480]) ).
fof(f1483,plain,
true = holds(sF2,do(putdown(b,c),do(pickup(b),s0))),
inference(forward_demodulation,[],[f1482,f1]) ).
fof(f1501,plain,
true = ifeq(true,true,holds(empty,do(putdown(b,c),do(pickup(b),s0))),true),
inference(superposition,[],[f265,f1480]) ).
fof(f1503,plain,
true = ifeq(true,true,holds(clear(b),do(putdown(b,c),do(pickup(b),s0))),true),
inference(superposition,[],[f266,f1480]) ).
fof(f1544,plain,
true = holds(clear(b),do(putdown(b,c),do(pickup(b),s0))),
inference(forward_demodulation,[],[f1503,f1]) ).
fof(f1546,plain,
true = holds(empty,do(putdown(b,c),do(pickup(b),s0))),
inference(forward_demodulation,[],[f1501,f1]) ).
fof(f1575,plain,
true = ifeq(true,true,ifeq(holds(clear(a),do(putdown(b,c),do(pickup(b),s0))),true,holds(holding(a),do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),true),true),
inference(superposition,[],[f199,f1546]) ).
fof(f1584,plain,
true = ifeq(holds(clear(a),do(putdown(b,c),do(pickup(b),s0))),true,holds(holding(a),do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),true),
inference(forward_demodulation,[],[f1575,f1]) ).
fof(f3471,plain,
! [X0] : true = ifeq(true,true,holds(clear(a),do(putdown(X0,c),do(pickup(b),s0))),true),
inference(superposition,[],[f117,f886]) ).
fof(f3479,plain,
! [X0] : true = holds(clear(a),do(putdown(X0,c),do(pickup(b),s0))),
inference(forward_demodulation,[],[f3471,f1]) ).
fof(f3486,plain,
true = ifeq(true,true,holds(holding(a),do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),true),
inference(backward_demodulation,[],[f1584,f3479]) ).
fof(f3487,plain,
true = holds(holding(a),do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),
inference(forward_demodulation,[],[f3486,f1]) ).
fof(f3491,plain,
true = ifeq(true,true,ifeq(holds(clear(b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),true,holds(sF1,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true),true),
inference(superposition,[],[f75,f3487]) ).
fof(f3512,plain,
true = ifeq(holds(clear(b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),true,holds(sF1,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true),
inference(forward_demodulation,[],[f3491,f1]) ).
fof(f4251,plain,
true = ifeq(true,true,holds(clear(b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),true),
inference(superposition,[],[f1141,f1544]) ).
fof(f4267,plain,
true = holds(clear(b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),
inference(forward_demodulation,[],[f4251,f1]) ).
fof(f4273,plain,
true = ifeq(true,true,holds(sF1,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true),
inference(backward_demodulation,[],[f3512,f4267]) ).
fof(f4280,plain,
true = holds(sF1,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),
inference(forward_demodulation,[],[f4273,f1]) ).
fof(f4300,plain,
true = ifeq(holds(sF2,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true,ifeq(true,true,holds(sF3,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true),true),
inference(superposition,[],[f187,f4280]) ).
fof(f4309,plain,
true = ifeq(holds(sF2,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true,holds(sF3,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true),
inference(forward_demodulation,[],[f4300,f1]) ).
fof(f5631,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(sF2,X0),true,holds(sF2,do(pickup(a),X0)),true),true),
inference(superposition,[],[f78,f89]) ).
fof(f5644,plain,
! [X0] : true = ifeq(holds(sF2,X0),true,holds(sF2,do(pickup(a),X0)),true),
inference(forward_demodulation,[],[f5631,f1]) ).
fof(f10900,plain,
true = ifeq(true,true,holds(sF2,do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),true),
inference(superposition,[],[f5644,f1483]) ).
fof(f10911,plain,
true = holds(sF2,do(pickup(a),do(putdown(b,c),do(pickup(b),s0)))),
inference(forward_demodulation,[],[f10900,f1]) ).
fof(f10918,plain,
! [X0,X1] : true = ifeq(true,true,holds(sF2,do(putdown(X0,X1),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true),
inference(superposition,[],[f80,f10911]) ).
fof(f10931,plain,
! [X0,X1] : true = holds(sF2,do(putdown(X0,X1),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),
inference(forward_demodulation,[],[f10918,f1]) ).
fof(f10937,plain,
true = ifeq(true,true,holds(sF3,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),true),
inference(backward_demodulation,[],[f4309,f10931]) ).
fof(f10940,plain,
true = holds(sF3,do(putdown(a,b),do(pickup(a),do(putdown(b,c),do(pickup(b),s0))))),
inference(forward_demodulation,[],[f10937,f1]) ).
fof(f10942,plain,
$false,
inference(forward_subsumption_resolution,[],[f10940,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA014-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:11:39 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 22.77/4.09 % (2781910)Detected a unit-equality problem, will run specialized UEQ schedule.
% 22.77/4.09 % (2782022)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1980372801:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 22.77/4.09 % (2782020)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3954487980:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 22.77/4.09 % (2782017)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=3271903897:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 22.77/4.09 % (2782018)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1912311337:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 22.77/4.09 % (2782016)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=3861148244:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 22.77/4.09 % (2782021)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3446371051:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 22.77/4.09 % (2782019)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3080737060:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 22.77/4.09 % (2782019)Instruction limit reached!
% 22.77/4.09 % (2782019)------------------------------
% 22.77/4.09 % (2782019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782019)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782019)Termination reason: Instruction limit
% 22.77/4.09 % (2782019)Termination phase: Saturation
% 22.77/4.09 % (2782019)Time elapsed: 0.072 s
% 22.77/4.09 % (2782019)Peak memory usage: 89 MB
% 22.77/4.09 % (2782019)Instructions burned: 137 (million)
% 22.77/4.09 % (2782020)Instruction limit reached!
% 22.77/4.09 % (2782020)------------------------------
% 22.77/4.09 % (2782020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782020)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782020)Termination reason: Instruction limit
% 22.77/4.09 % (2782020)Termination phase: Saturation
% 22.77/4.09 % (2782020)Time elapsed: 0.112 s
% 22.77/4.09 % (2782020)Peak memory usage: 90 MB
% 22.77/4.09 % (2782020)Instructions burned: 182 (million)
% 22.77/4.09 % (2782021)Instruction limit reached!
% 22.77/4.09 % (2782021)------------------------------
% 22.77/4.09 % (2782021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782021)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782021)Termination reason: Instruction limit
% 22.77/4.09 % (2782021)Termination phase: Saturation
% 22.77/4.09 % (2782021)Time elapsed: 0.152 s
% 22.77/4.09 % (2782021)Peak memory usage: 94 MB
% 22.77/4.09 % (2782021)Instructions burned: 257 (million)
% 22.77/4.09 % (2782044)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3730779302:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 22.77/4.09 % (2782037)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1977529537:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 22.77/4.09 % (2782022)Instruction limit reached!
% 22.77/4.09 % (2782022)------------------------------
% 22.77/4.09 % (2782022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782022)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782022)Termination reason: Instruction limit
% 22.77/4.09 % (2782022)Termination phase: Saturation
% 22.77/4.09 % (2782022)Time elapsed: 0.356 s
% 22.77/4.09 % (2782022)Peak memory usage: 104 MB
% 22.77/4.09 % (2782022)Instructions burned: 1187 (million)
% 22.77/4.09 % (2782045)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1731515681:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 22.77/4.09 % (2782045)Instruction limit reached!
% 22.77/4.09 % (2782045)------------------------------
% 22.77/4.09 % (2782045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782045)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782045)Termination reason: Instruction limit
% 22.77/4.09 % (2782045)Termination phase: Saturation
% 22.77/4.09 % (2782045)Time elapsed: 0.102 s
% 22.77/4.09 % (2782045)Peak memory usage: 88 MB
% 22.77/4.09 % (2782045)Instructions burned: 216 (million)
% 22.77/4.09 % (2782048)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=3748587108: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)
% 22.77/4.09 % (2782050)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=3932237532:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 22.77/4.09 % (2782048)Instruction limit reached!
% 22.77/4.09 % (2782048)------------------------------
% 22.77/4.09 % (2782048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782048)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782048)Termination reason: Instruction limit
% 22.77/4.09 % (2782048)Termination phase: Saturation
% 22.77/4.09 % (2782048)Time elapsed: 0.180 s
% 22.77/4.09 % (2782048)Peak memory usage: 96 MB
% 22.77/4.09 % (2782048)Instructions burned: 317 (million)
% 22.77/4.09 % (2782056)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3992260536:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 22.77/4.09 % (2782037)Instruction limit reached!
% 22.77/4.09 % (2782037)------------------------------
% 22.77/4.09 % (2782037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782037)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782037)Termination reason: Instruction limit
% 22.77/4.09 % (2782037)Termination phase: Saturation
% 22.77/4.09 % (2782037)Time elapsed: 1.157 s
% 22.77/4.09 % (2782037)Peak memory usage: 141 MB
% 22.77/4.09 % (2782037)Instructions burned: 2052 (million)
% 22.77/4.09 % (2782072)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3761833211:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 22.77/4.09 % (2782044)Instruction limit reached!
% 22.77/4.09 % (2782044)------------------------------
% 22.77/4.09 % (2782044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782044)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782044)Termination reason: Instruction limit
% 22.77/4.09 % (2782044)Termination phase: Saturation
% 22.77/4.09 % (2782044)Time elapsed: 2.071 s
% 22.77/4.09 % (2782044)Peak memory usage: 169 MB
% 22.77/4.09 % (2782044)Instructions burned: 4950 (million)
% 22.77/4.09 % (2782227)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=1239129266:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2974 on theBenchmark for (2974ds/11832Mi)
% 22.77/4.09 % (2782056)Instruction limit reached!
% 22.77/4.09 % (2782056)------------------------------
% 22.77/4.09 % (2782056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.77/4.09 % (2782056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.77/4.09 % (2782056)CaDiCaL version: 2.1.3
% 22.77/4.09 % (2782056)Termination reason: Instruction limit
% 22.77/4.09 % (2782056)Termination phase: Saturation
% 22.77/4.09 % (2782056)Time elapsed: 1.689 s
% 22.77/4.09 % (2782056)Peak memory usage: 151 MB
% 22.77/4.09 % (2782056)Instructions burned: 2837 (million)
% 22.77/4.09 % (2782018)First to succeed.
% 22.77/4.09 % (2782018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2781910"
% 22.77/4.09 % (2782229)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=4141984755:i=2279:fgj=on:bd=all_2971 on theBenchmark for (2971ds/2279Mi)
% 22.77/4.09 % (2782018)Refutation found. Thanks to Tanya!
% 22.77/4.09 % SZS status Unsatisfiable for theBenchmark
% 22.77/4.09 % SZS output start Proof for theBenchmark
% See solution above
% 23.30/4.28 % (2782018)------------------------------
% 23.30/4.28 % (2782018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.28 % (2782018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.28 % (2782018)CaDiCaL version: 2.1.3
% 23.30/4.28 % (2782018)Termination reason: Refutation
% 23.30/4.28 % (2782018)Time elapsed: 2.784 s
% 23.30/4.28 % (2782018)Peak memory usage: 157 MB
% 23.30/4.28 % (2782018)Instructions burned: 3931 (million)
% 23.30/4.28 % (2782018)------------------------------
% 23.30/4.28 % (2782018)------------------------------
% 23.30/4.28 % (2781910)Success in time 3.215 s
% 23.30/4.28 % Vampire exiting
%------------------------------------------------------------------------------