%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA008-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:27:41 PM UTC 2026
% Result : Unsatisfiable 52.08s 15.72s
% Output : Refutation 103.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 33
% Syntax : Number of formulae : 181 ( 181 unt; 4 def)
% Number of atoms : 181 ( 180 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 : 163 ( 163 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',differ_b_table) ).
fof(f37,plain,
true = differ(b,table),
inference(reorient_equations,[],[f36]) ).
fof(f38,axiom,
differ(c,d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_d) ).
fof(f39,plain,
true = differ(c,d),
inference(reorient_equations,[],[f38]) ).
fof(f40,axiom,
differ(c,table) = true,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(b,d),on(a,c)),X0) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_BD_AC) ).
fof(f63,plain,
! [X0] : true != holds(and(on(b,d),on(a,c)),X0),
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF0 = on(b,d),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f65,plain,
on(b,d) = sF0,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF1 = on(a,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f67,plain,
on(a,c) = 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(b),X0),true,ifeq(holds(clear(d),X0),true,holds(sF0,do(putdown(b,d),X0)),true),true),
inference(superposition,[],[f15,f65]) ).
fof(f77,plain,
! [X0] : true = ifeq(holds(holding(a),X0),true,ifeq(holds(clear(c),X0),true,holds(sF1,do(putdown(a,c),X0)),true),true),
inference(superposition,[],[f15,f67]) ).
fof(f78,plain,
! [X0,X1] : true = ifeq(differ(a,X0),true,ifeq(holds(sF1,X1),true,holds(sF1,do(pickup(X0),X1)),true),true),
inference(superposition,[],[f9,f67]) ).
fof(f97,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(b),X0),true,holds(clear(b),do(putdown(X1,c),X0)),true),true),
inference(superposition,[],[f21,f33]) ).
fof(f100,plain,
! [X0,X1] : true = ifeq(holds(clear(b),X0),true,holds(clear(b),do(putdown(X1,c),X0)),true),
inference(forward_demodulation,[],[f97,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(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(f117,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(f120,plain,
! [X0] : true = ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(c),X0)),true),
inference(forward_demodulation,[],[f117,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(f125,plain,
true = ifeq(true,true,differ(b,a),true),
inference(superposition,[],[f23,f25]) ).
fof(f126,plain,
true = ifeq(true,true,differ(d,a),true),
inference(superposition,[],[f23,f29]) ).
fof(f127,plain,
true = ifeq(true,true,differ(c,a),true),
inference(superposition,[],[f23,f27]) ).
fof(f128,plain,
true = ifeq(true,true,differ(d,b),true),
inference(superposition,[],[f23,f35]) ).
fof(f130,plain,
true = ifeq(true,true,differ(d,c),true),
inference(superposition,[],[f23,f39]) ).
fof(f137,plain,
true = differ(d,c),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f139,plain,
true = differ(d,b),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f140,plain,
true = differ(c,a),
inference(forward_demodulation,[],[f127,f1]) ).
fof(f141,plain,
true = differ(d,a),
inference(forward_demodulation,[],[f126,f1]) ).
fof(f142,plain,
true = differ(b,a),
inference(forward_demodulation,[],[f125,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(f184,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(f187,plain,
! [X0,X1] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,table),X0)),true),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f247,plain,
! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(true,true,holds(clear(X0),do(putdown(X0,table),X1)),true),true),
inference(superposition,[],[f17,f61]) ).
fof(f248,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(f263,plain,
! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,holds(empty,do(putdown(X0,table),X1)),true),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f264,plain,
! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,holds(clear(X0),do(putdown(X0,table),X1)),true),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f271,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(f272,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(f276,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(f283,plain,
true = ifeq(differ(c,table),true,ifeq(holds(empty,s0),true,holds(holding(c),do(pickup(c),s0)),true),true),
inference(forward_demodulation,[],[f276,f1]) ).
fof(f287,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,[],[f272,f1]) ).
fof(f288,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,[],[f271,f1]) ).
fof(f291,plain,
true = ifeq(differ(c,table),true,ifeq(true,true,holds(holding(c),do(pickup(c),s0)),true),true),
inference(forward_demodulation,[],[f283,f59]) ).
fof(f294,plain,
true = ifeq(differ(c,table),true,holds(holding(c),do(pickup(c),s0)),true),
inference(forward_demodulation,[],[f291,f1]) ).
fof(f297,plain,
true = ifeq(true,true,holds(holding(c),do(pickup(c),s0)),true),
inference(forward_demodulation,[],[f294,f41]) ).
fof(f300,plain,
true = holds(holding(c),do(pickup(c),s0)),
inference(forward_demodulation,[],[f297,f1]) ).
fof(f351,plain,
true = ifeq(true,true,holds(clear(c),do(putdown(c,table),do(pickup(c),s0))),true),
inference(superposition,[],[f264,f300]) ).
fof(f353,plain,
true = holds(clear(c),do(putdown(c,table),do(pickup(c),s0))),
inference(forward_demodulation,[],[f351,f1]) ).
fof(f358,plain,
true = ifeq(true,true,holds(empty,do(putdown(c,table),do(pickup(c),s0))),true),
inference(superposition,[],[f263,f300]) ).
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(f413,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(a),X0)),true),true),
inference(superposition,[],[f11,f142]) ).
fof(f418,plain,
! [X0] : true = ifeq(holds(clear(b),X0),true,holds(clear(b),do(pickup(a),X0)),true),
inference(forward_demodulation,[],[f413,f1]) ).
fof(f423,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(c),X0),true,holds(clear(c),do(pickup(a),X0)),true),true),
inference(superposition,[],[f11,f140]) ).
fof(f428,plain,
! [X0] : true = ifeq(holds(clear(c),X0),true,holds(clear(c),do(pickup(a),X0)),true),
inference(forward_demodulation,[],[f423,f1]) ).
fof(f447,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(d),X0),true,holds(clear(d),do(pickup(a),X0)),true),true),
inference(superposition,[],[f11,f141]) ).
fof(f452,plain,
! [X0] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(pickup(a),X0)),true),
inference(forward_demodulation,[],[f447,f1]) ).
fof(f481,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(d),X0),true,holds(clear(d),do(pickup(b),X0)),true),true),
inference(superposition,[],[f11,f139]) ).
fof(f486,plain,
! [X0] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(pickup(b),X0)),true),
inference(forward_demodulation,[],[f481,f1]) ).
fof(f658,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,c),X0)),true),true),
inference(superposition,[],[f21,f137]) ).
fof(f661,plain,
! [X0,X1] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,c),X0)),true),
inference(forward_demodulation,[],[f658,f1]) ).
fof(f781,plain,
true = ifeq(true,true,holds(clear(a),do(pickup(c),s0)),true),
inference(superposition,[],[f122,f53]) ).
fof(f786,plain,
true = holds(clear(a),do(pickup(c),s0)),
inference(forward_demodulation,[],[f781,f1]) ).
fof(f793,plain,
true = ifeq(true,true,holds(clear(b),do(pickup(c),s0)),true),
inference(superposition,[],[f120,f55]) ).
fof(f798,plain,
true = holds(clear(b),do(pickup(c),s0)),
inference(forward_demodulation,[],[f793,f1]) ).
fof(f1243,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(sF1,X0),true,holds(sF1,do(pickup(b),X0)),true),true),
inference(superposition,[],[f78,f25]) ).
fof(f1248,plain,
! [X0] : true = ifeq(holds(sF1,X0),true,holds(sF1,do(pickup(b),X0)),true),
inference(forward_demodulation,[],[f1243,f1]) ).
fof(f1387,plain,
! [X0] : true = ifeq(true,true,holds(clear(a),do(putdown(X0,table),do(pickup(c),s0))),true),
inference(superposition,[],[f157,f786]) ).
fof(f1393,plain,
! [X0] : true = holds(clear(a),do(putdown(X0,table),do(pickup(c),s0))),
inference(forward_demodulation,[],[f1387,f1]) ).
fof(f1456,plain,
true = ifeq(true,true,ifeq(holds(clear(a),do(putdown(c,table),do(pickup(c),s0))),true,holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true),true),
inference(superposition,[],[f288,f359]) ).
fof(f1473,plain,
true = ifeq(holds(clear(a),do(putdown(c,table),do(pickup(c),s0))),true,holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true),
inference(forward_demodulation,[],[f1456,f1]) ).
fof(f1481,plain,
true = ifeq(true,true,holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true),
inference(forward_demodulation,[],[f1473,f1393]) ).
fof(f1489,plain,
true = holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),
inference(forward_demodulation,[],[f1481,f1]) ).
fof(f1526,plain,
true = ifeq(true,true,ifeq(holds(clear(c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(sF1,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),true),
inference(superposition,[],[f77,f1489]) ).
fof(f1532,plain,
! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(empty,do(putdown(a,X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),true),
inference(superposition,[],[f13,f1489]) ).
fof(f1543,plain,
! [X0] : true = ifeq(holds(clear(X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(empty,do(putdown(a,X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(forward_demodulation,[],[f1532,f1]) ).
fof(f1549,plain,
true = ifeq(holds(clear(c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(sF1,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(forward_demodulation,[],[f1526,f1]) ).
fof(f1583,plain,
! [X0] : true = ifeq(true,true,holds(clear(b),do(putdown(X0,table),do(pickup(c),s0))),true),
inference(superposition,[],[f167,f798]) ).
fof(f1589,plain,
! [X0] : true = holds(clear(b),do(putdown(X0,table),do(pickup(c),s0))),
inference(forward_demodulation,[],[f1583,f1]) ).
fof(f2081,plain,
! [X0] : true = ifeq(true,true,holds(clear(d),do(putdown(X0,table),do(pickup(c),s0))),true),
inference(superposition,[],[f187,f381]) ).
fof(f2084,plain,
! [X0] : true = holds(clear(d),do(putdown(X0,table),do(pickup(c),s0))),
inference(forward_demodulation,[],[f2081,f1]) ).
fof(f2182,plain,
! [X0] : true = ifeq(true,true,holds(clear(d),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0)))),true),
inference(superposition,[],[f452,f2084]) ).
fof(f2185,plain,
! [X0] : true = holds(clear(d),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0)))),
inference(forward_demodulation,[],[f2182,f1]) ).
fof(f2231,plain,
true = ifeq(true,true,holds(clear(c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true),
inference(superposition,[],[f428,f353]) ).
fof(f2240,plain,
true = holds(clear(c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),
inference(forward_demodulation,[],[f2231,f1]) ).
fof(f2245,plain,
true = ifeq(true,true,holds(sF1,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(backward_demodulation,[],[f1549,f2240]) ).
fof(f2250,plain,
true = holds(sF1,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),
inference(forward_demodulation,[],[f2245,f1]) ).
fof(f2289,plain,
true = ifeq(true,true,holds(sF1,do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),
inference(superposition,[],[f1248,f2250]) ).
fof(f2300,plain,
true = holds(sF1,do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),
inference(forward_demodulation,[],[f2289,f1]) ).
fof(f6198,plain,
! [X0] : true = ifeq(true,true,holds(clear(b),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0)))),true),
inference(superposition,[],[f418,f1589]) ).
fof(f6232,plain,
! [X0] : true = holds(clear(b),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0)))),
inference(forward_demodulation,[],[f6198,f1]) ).
fof(f6250,plain,
! [X0,X1] : true = ifeq(true,true,holds(clear(b),do(putdown(X1,c),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0))))),true),
inference(superposition,[],[f100,f6232]) ).
fof(f6297,plain,
! [X0,X1] : true = holds(clear(b),do(putdown(X1,c),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0))))),
inference(forward_demodulation,[],[f6250,f1]) ).
fof(f6485,plain,
! [X0,X1] : true = ifeq(true,true,holds(sF1,do(putdown(X0,X1),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(superposition,[],[f150,f2300]) ).
fof(f6506,plain,
! [X0,X1] : true = holds(sF1,do(putdown(X0,X1),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),
inference(forward_demodulation,[],[f6485,f1]) ).
fof(f14422,plain,
! [X0,X1] : true = ifeq(true,true,holds(clear(d),do(putdown(X1,c),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0))))),true),
inference(superposition,[],[f661,f2185]) ).
fof(f14471,plain,
! [X0,X1] : true = holds(clear(d),do(putdown(X1,c),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0))))),
inference(forward_demodulation,[],[f14422,f1]) ).
fof(f17789,plain,
true = ifeq(true,true,holds(empty,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
inference(superposition,[],[f1543,f2240]) ).
fof(f17796,plain,
true = holds(empty,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),
inference(forward_demodulation,[],[f17789,f1]) ).
fof(f17895,plain,
true = ifeq(true,true,ifeq(holds(clear(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true,holds(holding(b),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),true),
inference(superposition,[],[f287,f17796]) ).
fof(f17910,plain,
true = ifeq(holds(clear(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true,holds(holding(b),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),
inference(forward_demodulation,[],[f17895,f1]) ).
fof(f17922,plain,
true = ifeq(true,true,holds(holding(b),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),
inference(forward_demodulation,[],[f17910,f6297]) ).
fof(f17928,plain,
true = holds(holding(b),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),
inference(forward_demodulation,[],[f17922,f1]) ).
fof(f18125,plain,
true = ifeq(true,true,ifeq(holds(clear(d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true,holds(sF0,do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),true),
inference(superposition,[],[f74,f17928]) ).
fof(f18152,plain,
true = ifeq(holds(clear(d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true,holds(sF0,do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(forward_demodulation,[],[f18125,f1]) ).
fof(f27388,plain,
! [X0,X1] : true = ifeq(true,true,holds(clear(d),do(pickup(b),do(putdown(X0,c),do(pickup(a),do(putdown(X1,table),do(pickup(c),s0)))))),true),
inference(superposition,[],[f486,f14471]) ).
fof(f27426,plain,
! [X0,X1] : true = holds(clear(d),do(pickup(b),do(putdown(X0,c),do(pickup(a),do(putdown(X1,table),do(pickup(c),s0)))))),
inference(forward_demodulation,[],[f27388,f1]) ).
fof(f27437,plain,
true = ifeq(true,true,holds(sF0,do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(backward_demodulation,[],[f18152,f27426]) ).
fof(f27441,plain,
true = holds(sF0,do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),
inference(forward_demodulation,[],[f27437,f1]) ).
fof(f27446,plain,
true = ifeq(holds(sF1,do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true,ifeq(true,true,sF3(do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),true),
inference(superposition,[],[f110,f27441]) ).
fof(f27469,plain,
true = ifeq(holds(sF1,do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true,sF3(do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(forward_demodulation,[],[f27446,f1]) ).
fof(f27473,plain,
true = ifeq(true,true,sF3(do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
inference(forward_demodulation,[],[f27469,f6506]) ).
fof(f27475,plain,
true = sF3(do(putdown(b,d),do(pickup(b),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),
inference(forward_demodulation,[],[f27473,f1]) ).
fof(f27477,plain,
$false,
inference(forward_subsumption_resolution,[],[f27475,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PLA008-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 % Computer : n020.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sun Sep 27 22:10:05 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.52 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.08/15.72 % (3808417)Detected a unit-equality problem, will run specialized UEQ schedule.
% 52.08/15.72 % (3808423)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=938100644:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 52.08/15.72 % (3808422)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=2969742653:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 52.08/15.72 % (3808428)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=424404424:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 52.08/15.72 % (3808424)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=722848356:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 52.08/15.72 % (3808426)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=740379253:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 52.08/15.72 % (3808425)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2658328600:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 52.08/15.72 % (3808427)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1676960388:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 52.08/15.72 % (3808425)Instruction limit reached!
% 52.08/15.72 % (3808425)------------------------------
% 52.08/15.72 % (3808425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808425)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808425)Termination reason: Instruction limit
% 52.08/15.72 % (3808425)Termination phase: Saturation
% 52.08/15.72 % (3808425)Time elapsed: 0.123 s
% 52.08/15.72 % (3808425)Peak memory usage: 89 MB
% 52.08/15.72 % (3808425)Instructions burned: 137 (million)
% 52.08/15.72 % (3808426)Instruction limit reached!
% 52.08/15.72 % (3808426)------------------------------
% 52.08/15.72 % (3808426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808426)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808426)Termination reason: Instruction limit
% 52.08/15.72 % (3808426)Termination phase: Saturation
% 52.08/15.72 % (3808426)Time elapsed: 0.165 s
% 52.08/15.72 % (3808426)Peak memory usage: 90 MB
% 52.08/15.72 % (3808426)Instructions burned: 181 (million)
% 52.08/15.72 % (3808427)Instruction limit reached!
% 52.08/15.72 % (3808427)------------------------------
% 52.08/15.72 % (3808427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808427)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808427)Termination reason: Instruction limit
% 52.08/15.72 % (3808427)Termination phase: Saturation
% 52.08/15.72 % (3808427)Time elapsed: 0.247 s
% 52.08/15.72 % (3808427)Peak memory usage: 94 MB
% 52.08/15.72 % (3808427)Instructions burned: 257 (million)
% 52.08/15.72 % (3808436)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3826736235:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 52.08/15.72 % (3808437)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2802953154:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 52.08/15.72 % (3808438)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1064521392:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 52.08/15.72 % (3808438)Instruction limit reached!
% 52.08/15.72 % (3808438)------------------------------
% 52.08/15.72 % (3808438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808438)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808438)Termination reason: Instruction limit
% 52.08/15.72 % (3808438)Termination phase: Saturation
% 52.08/15.72 % (3808438)Time elapsed: 0.166 s
% 52.08/15.72 % (3808438)Peak memory usage: 88 MB
% 52.08/15.72 % (3808438)Instructions burned: 216 (million)
% 52.08/15.72 % (3808428)Instruction limit reached!
% 52.08/15.72 % (3808428)------------------------------
% 52.08/15.72 % (3808428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808428)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808428)Termination reason: Instruction limit
% 52.08/15.72 % (3808428)Termination phase: Saturation
% 52.08/15.72 % (3808428)Time elapsed: 0.962 s
% 52.08/15.72 % (3808428)Peak memory usage: 104 MB
% 52.08/15.72 % (3808428)Instructions burned: 1187 (million)
% 52.08/15.72 % (3808442)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=713510703:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 52.08/15.72 % (3808443)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=941371008:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 52.08/15.72 % (3808442)Instruction limit reached!
% 52.08/15.72 % (3808442)------------------------------
% 52.08/15.72 % (3808442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808442)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808442)Termination reason: Instruction limit
% 52.08/15.72 % (3808442)Termination phase: Saturation
% 52.08/15.72 % (3808442)Time elapsed: 0.296 s
% 52.08/15.72 % (3808442)Peak memory usage: 96 MB
% 52.08/15.72 % (3808442)Instructions burned: 318 (million)
% 52.08/15.72 % (3808446)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2663010335:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 52.08/15.72 % (3808436)Instruction limit reached!
% 52.08/15.72 % (3808436)------------------------------
% 52.08/15.72 % (3808436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808436)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808436)Termination reason: Instruction limit
% 52.08/15.72 % (3808436)Termination phase: Saturation
% 52.08/15.72 % (3808436)Time elapsed: 2.165 s
% 52.08/15.72 % (3808436)Peak memory usage: 141 MB
% 52.08/15.72 % (3808436)Instructions burned: 2052 (million)
% 52.08/15.72 % (3808448)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4213232901:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 52.08/15.72 % (3808446)Instruction limit reached!
% 52.08/15.72 % (3808446)------------------------------
% 52.08/15.72 % (3808446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808446)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808446)Termination reason: Instruction limit
% 52.08/15.72 % (3808446)Termination phase: Saturation
% 52.08/15.72 % (3808446)Time elapsed: 2.558 s
% 52.08/15.72 % (3808446)Peak memory usage: 151 MB
% 52.08/15.72 % (3808446)Instructions burned: 2836 (million)
% 52.08/15.72 % (3808450)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=3542774872:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2955 on theBenchmark for (2955ds/11832Mi)
% 52.08/15.72 % (3808437)Instruction limit reached!
% 52.08/15.72 % (3808437)------------------------------
% 52.08/15.72 % (3808437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808437)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808437)Termination reason: Instruction limit
% 52.08/15.72 % (3808437)Termination phase: Saturation
% 52.08/15.72 % (3808437)Time elapsed: 4.971 s
% 52.08/15.72 % (3808437)Peak memory usage: 168 MB
% 52.08/15.72 % (3808437)Instructions burned: 4949 (million)
% 52.08/15.72 % (3808452)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=3886720119:i=2279:fgj=on:bd=all_2942 on theBenchmark for (2942ds/2279Mi)
% 52.08/15.72 % (3808452)Instruction limit reached!
% 52.08/15.72 % (3808452)------------------------------
% 52.08/15.72 % (3808452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808452)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808452)Termination reason: Instruction limit
% 52.08/15.72 % (3808452)Termination phase: Saturation
% 52.08/15.72 % (3808452)Time elapsed: 2.343 s
% 52.08/15.72 % (3808452)Peak memory usage: 141 MB
% 52.08/15.72 % (3808452)Instructions burned: 2279 (million)
% 52.08/15.72 % (3808454)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=1382756891:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2916 on theBenchmark for (2916ds/6225Mi)
% 52.08/15.72 % (3808443)Instruction limit reached!
% 52.08/15.72 % (3808443)------------------------------
% 52.08/15.72 % (3808443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.08/15.72 % (3808443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.08/15.72 % (3808443)CaDiCaL version: 2.1.3
% 52.08/15.72 % (3808443)Termination reason: Instruction limit
% 52.08/15.72 % (3808443)Termination phase: Saturation
% 52.08/15.72 % (3808443)Time elapsed: 11.738 s
% 52.08/15.72 % (3808443)Peak memory usage: 240 MB
% 52.08/15.72 % (3808443)Instructions burned: 12126 (million)
% 52.08/15.72 % (3808456)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3995085648:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2866 on theBenchmark for (2866ds/21755Mi)
% 52.08/15.72 % (3808450)First to succeed.
% 52.08/15.72 % (3808450)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3808417"
% 52.08/15.72 % (3808450)Refutation found. Thanks to Tanya!
% 52.08/15.72 % SZS status Unsatisfiable for theBenchmark
% 52.08/15.72 % SZS output start Proof for theBenchmark
% See solution above
% 103.28/16.10 % (3808450)------------------------------
% 103.28/16.10 % (3808450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.28/16.10 % (3808450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.28/16.10 % (3808450)CaDiCaL version: 2.1.3
% 103.28/16.10 % (3808450)Termination reason: Refutation
% 103.28/16.10 % (3808450)Time elapsed: 9.204 s
% 103.28/16.10 % (3808450)Peak memory usage: 212 MB
% 103.28/16.10 % (3808450)Instructions burned: 9172 (million)
% 103.28/16.10 % (3808450)------------------------------
% 103.28/16.10 % (3808450)------------------------------
% 103.28/16.10 % (3808417)Success in time 14.437 s
% 103.28/16.10 % Vampire exiting
%------------------------------------------------------------------------------