%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG240-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 : Fri Sep 25 12:53:56 PM UTC 2026
% Result : Unsatisfiable 11.13s 2.14s
% Output : CNFRefutation 11.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 88 unt; 0 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 274 ( 0 sgn 274 !; 0 ?; 252 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X2,X3,X0,X1] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f4,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X2),mult(X1,X3)) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(X0,X1),mult(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f6,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X1),mult(X2,X3)) = mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(X2,X1)) = mult(mult(X0,X2),X1),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(X0,X1),mult(X2,X3)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_58,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(X0,mult(X1,X2)),mult(mult(X0,X1),X3)) = mult(mult(X0,X1),mult(mult(X0,X2),X3)),
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,X1),X2),mult(X0,mult(X1,X3))) = mult(mult(X0,X1),mult(X2,mult(X0,X3))),
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(X0,mult(X1,X2)),mult(X3,mult(X0,X2))) = mult(mult(mult(X0,X1),X3),mult(X0,X2)),
inference(superposition,[status(thm)],[c_54,c_55]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(X0,mult(X1,X2)),mult(X1,mult(X3,X2))) = mult(mult(X0,mult(X1,X3)),mult(X1,X2)),
inference(superposition,[status(thm)],[c_54,c_55]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,X1),X2),mult(X3,mult(X1,X2))) = mult(mult(mult(X0,X2),X3),mult(X1,X2)),
inference(superposition,[status(thm)],[c_55,c_55]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,X1),X2),mult(mult(X0,X3),X1)) = mult(mult(X0,X1),mult(X2,mult(X3,X1))),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X0),X1) = mult(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X0),mult(X1,X2)),mult(mult(mult(X0,X0),mult(X1,X2)),mult(X0,mult(X1,X2)))) = mult(X0,mult(X1,X2)),
inference(superposition,[status(thm)],[c_54,c_56]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),mult(X2,X2)),mult(mult(mult(X0,X1),mult(X2,X2)),mult(mult(X0,X1),X2))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,mult(X1,X2)),mult(mult(X0,X0),mult(X1,X2))),mult(mult(X0,X0),mult(X1,X2))) = mult(X0,mult(X1,X2)),
inference(superposition,[status(thm)],[c_54,c_57]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(mult(X0,X1),X2),mult(mult(X0,X1),mult(X2,X2))),mult(mult(X0,X1),mult(X2,X2))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(mult(X0,X1),mult(X2,X2)),mult(mult(X0,X1),X2)),mult(mult(X0,X1),X2)) = mult(mult(X0,X1),mult(X2,X2)),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),mult(mult(X0,X1),mult(X2,X3))) = mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(X4,mult(mult(X0,X2),mult(X1,X3)))),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(mult(mult(X2,X2),X2),X2)) = mult(mult(X0,X1),mult(X2,X2)),
inference(demodulation,[status(thm)],[c_146,c_54]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),mult(mult(mult(X0,X1),mult(X2,X2)),mult(mult(X0,X1),X2))) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[c_122,c_69]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(X2,mult(mult(X2,X2),X2))) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[c_175,c_54]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X2)),mult(mult(mult(X0,X0),mult(X1,X2)),mult(X0,mult(X1,X2)))) = mult(X0,mult(X1,X2)),
inference(demodulation,[status(thm)],[c_121,c_77]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(mult(X0,X0),X0)),mult(X1,X2)) = mult(X0,mult(X1,X2)),
inference(demodulation,[status(thm)],[c_177,c_55]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(mult(X0,X1),X2),mult(mult(X0,X1),mult(X2,X2))),mult(mult(X0,X1),X2)) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[c_101,c_71]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(mult(X2,mult(X2,X2)),X2)) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[c_181,c_54]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,mult(X1,X2)),mult(mult(X0,X0),mult(X1,X2))),mult(X0,mult(X1,X2))) = mult(X0,mult(X1,X2)),
inference(demodulation,[status(thm)],[c_100,c_75]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,mult(X0,X0)),X0),mult(X1,X2)) = mult(X0,mult(X1,X2)),
inference(demodulation,[status(thm)],[c_183,c_55]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4),mult(mult(X0,X1),mult(X2,X3))) = mult(mult(mult(mult(X0,X1),mult(X2,X3)),X4),mult(mult(X0,X2),mult(X1,X3))),
inference(demodulation,[status(thm)],[c_163,c_55]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X2,X2)),
inference(superposition,[status(thm)],[c_54,c_78]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X0),X1),X2) = mult(mult(X0,X1),mult(X2,X2)),
inference(superposition,[status(thm)],[c_55,c_78]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X0),mult(X1,X2)) = mult(X0,mult(X1,mult(X2,X2))),
inference(superposition,[status(thm)],[c_54,c_78]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X1)),mult(X2,X1)) = mult(mult(mult(X0,X0),X2),X1),
inference(superposition,[status(thm)],[c_78,c_55]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(mult(X0,X0),X2)) = mult(X0,mult(X1,mult(X2,X2))),
inference(superposition,[status(thm)],[c_78,c_54]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(X2,mult(X2,mult(X2,X2)))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_78,c_176]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,mult(mult(X0,X0),X0))) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_176,c_54]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i] : mult(X0,mult(mult(mult(X0,X0),X0),X1)) = mult(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[c_178,c_54]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),mult(mult(X0,X0),X0)) = mult(X0,mult(X1,mult(mult(X0,X0),X0))),
inference(superposition,[status(thm)],[c_178,c_55]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(mult(X0,X0),X0)),X1) = mult(X0,mult(X1,mult(mult(X1,X1),X1))),
inference(superposition,[status(thm)],[c_178,c_176]) ).
tcf(c_600,plain,
! [X0: $i,X1: $i] : mult(mult(mult(X0,mult(X0,X0)),X1),X0) = mult(mult(X0,mult(X0,X0)),mult(X1,X0)),
inference(superposition,[status(thm)],[c_182,c_54]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(mult(mult(X0,mult(X0,X0)),X0),mult(mult(X1,X2),mult(X3,X4))) = mult(X0,mult(mult(X1,X2),mult(X3,X4))),
inference(superposition,[status(thm)],[c_56,c_184]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(X0,mult(mult(X0,X0),X0)),mult(X1,mult(X2,X3))) = mult(X0,mult(X1,mult(X2,X3))),
inference(superposition,[status(thm)],[c_184,c_178]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(mult(X0,mult(X0,X0)),X0),X1),mult(X2,X3)) = mult(mult(X0,mult(X2,X3)),mult(X1,mult(X2,X3))),
inference(superposition,[status(thm)],[c_184,c_55]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(X0,X0)),mult(X0,X1)) = mult(X0,mult(mult(X0,mult(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_184,c_54]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] : mult(mult(mult(X0,mult(X0,X0)),X1),X0) = mult(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_184,c_55]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i] : mult(mult(mult(mult(X0,mult(X0,X0)),X0),mult(mult(X0,mult(X0,X0)),X0)),X1) = mult(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_184,c_78]) ).
tcf(c_709,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(mult(X2,mult(X2,X2)),X2)) = mult(mult(X0,X1),mult(X2,X2)),
inference(superposition,[status(thm)],[c_78,c_173]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i] : mult(X0,mult(mult(X0,mult(X0,X0)),X1)) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_545,c_78]) ).
tcf(c_763,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,mult(X0,mult(X0,X0)))) = mult(mult(X0,X1),X0),
inference(demodulation,[status(thm)],[c_496,c_78]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[c_709,c_262,c_265,c_483]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(X0,X0)),mult(X0,X1)) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_662,c_762]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i] : mult(X0,mult(mult(X0,X0),X1)) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_769,c_54]) ).
tcf(c_776,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(demodulation,[status(thm)],[c_600,c_263,c_269,c_664,c_765]) ).
tcf(c_778,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(X0,X0)),X1) = mult(X0,mult(X1,mult(X1,X1))),
inference(demodulation,[status(thm)],[c_565,c_770]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,mult(X0,X0))) = mult(X0,mult(X1,X0)),
inference(demodulation,[status(thm)],[c_547,c_291,c_763,c_776]) ).
tcf(c_792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(X0,mult(X0,X0)),mult(X1,mult(X2,X3))) = mult(X0,mult(X1,mult(X2,X3))),
inference(demodulation,[status(thm)],[c_652,c_770]) ).
tcf(c_795,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(X0,X0)),X1) = mult(X0,mult(X1,X1)),
inference(demodulation,[status(thm)],[c_677,c_778,c_779,c_792]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,mult(X0,X0)),X1),mult(X2,X3)) = mult(mult(X0,mult(X2,X3)),mult(X1,mult(X2,X3))),
inference(demodulation,[status(thm)],[c_657,c_795]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,mult(X0,X0)),X1),mult(X2,X3)) = mult(mult(X0,X1),mult(X2,X3)),
inference(demodulation,[status(thm)],[c_808,c_55]) ).
tcf(c_810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(mult(X0,X0),mult(mult(X1,X2),mult(X3,X4))) = mult(X0,mult(mult(X1,X2),mult(X3,X4))),
inference(demodulation,[status(thm)],[c_643,c_809]) ).
tcf(c_1851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),
inference(superposition,[status(thm)],[c_57,c_776]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X0)),mult(X2,X0)) = mult(mult(mult(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_776,c_55]) ).
tcf(c_1864,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),mult(X1,mult(X0,X1))) = mult(mult(mult(X0,X1),X0),X1),
inference(superposition,[status(thm)],[c_776,c_55]) ).
tcf(c_2157,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),mult(X1,mult(X0,X1))) = mult(mult(X0,mult(X1,X0)),X1),
inference(demodulation,[status(thm)],[c_1864,c_776]) ).
tcf(c_2310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3)))),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),
inference(demodulation,[status(thm)],[c_1851,c_2157]) ).
tcf(c_2311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3)))),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(X0,X2),mult(X1,X3)),
inference(demodulation,[status(thm)],[c_2310,c_56]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(mult(X0,X2),mult(X1,X2))) = mult(mult(X0,mult(X0,X1)),mult(X1,X2)),
inference(superposition,[status(thm)],[c_68,c_55]) ).
tcf(c_3397,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X0,X1)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X1),X2)),
inference(demodulation,[status(thm)],[c_3233,c_55]) ).
tcf(c_4156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4)) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),X4)),
inference(superposition,[status(thm)],[c_56,c_3397]) ).
tcf(c_4596,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(mult(X1,X2),mult(X0,X2))) = mult(mult(mult(X0,X1),X0),mult(X1,X2)),
inference(superposition,[status(thm)],[c_69,c_55]) ).
tcf(c_4844,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X1,X0),X2)),
inference(demodulation,[status(thm)],[c_4596,c_55,c_776]) ).
tcf(c_5116,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),mult(mult(X1,X0),X0)) = mult(mult(mult(X0,X1),X1),X0),
inference(superposition,[status(thm)],[c_4844,c_1858]) ).
tcf(c_5332,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X1),mult(X0,X2)) = mult(mult(X0,mult(X1,X0)),mult(X1,X2)),
inference(superposition,[status(thm)],[c_73,c_71]) ).
tcf(c_5351,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X1),mult(X0,X2)) = mult(mult(X0,X1),mult(mult(X1,X0),X2)),
inference(demodulation,[status(thm)],[c_5332,c_4844]) ).
tcf(c_6229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3)))),mult(mult(X0,X2),mult(X1,X3))),
inference(superposition,[status(thm)],[c_56,c_5116]) ).
tcf(c_6230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))))) = mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),
inference(superposition,[status(thm)],[c_57,c_5116]) ).
tcf(c_6405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),X4)) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),X4)),
inference(superposition,[status(thm)],[c_57,c_5351]) ).
tcf(c_6589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),X4)) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),X4)),
inference(demodulation,[status(thm)],[c_6405,c_4156]) ).
tcf(c_6592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
inference(demodulation,[status(thm)],[c_6229,c_189,c_810,c_2311]) ).
tcf(c_6593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))),
inference(demodulation,[status(thm)],[c_6230,c_6589,c_6592]) ).
tcf(c_6594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(mult(X0,X2),mult(X1,X3)),mult(mult(X0,X1),mult(X2,X3))),
inference(demodulation,[status(thm)],[c_6593,c_54,c_765]) ).
tcf(c_6599,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_6594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG240-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 05:16:09 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running UEQ theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 11.13/2.14 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 11.13/2.14 % SZS status Started for theBenchmark.p
% 11.13/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 11.13/2.14
% 11.13/2.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.13/2.14
% 11.13/2.14 % ------ iProver source info
% 11.13/2.14
% 11.13/2.14 % git: date: 2026-07-19 20:42:38 +0200
% 11.13/2.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.13/2.14 % git: non_committed_changes: false
% 11.13/2.14
% 11.13/2.14 % ------ Parsing...% successful
% 11.13/2.14
% 11.13/2.14
% 11.13/2.14 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 11.13/2.14 % ------ Proving...
% 11.13/2.14 % ------ Problem Properties
% 11.13/2.14
% 11.13/2.14 %
% 11.13/2.14 % clauses 5
% 11.13/2.14 % conjectures 1
% 11.13/2.14 % EPR 0
% 11.13/2.14 % Horn 5
% 11.13/2.14 % unary 5
% 11.13/2.14 % binary 0
% 11.13/2.14 % lits 5
% 11.13/2.14 % lits eq 5
% 11.13/2.14 % fd_pure 0
% 11.13/2.14 % fd_pseudo 0
% 11.13/2.14 % fd_cond 0
% 11.13/2.14 % fd_pseudo_cond 0
% 11.13/2.14 % AC symbols 0
% 11.13/2.14
% 11.13/2.14 % ------ Input Options Time Limit: Unbounded
% 11.13/2.14
% 11.13/2.14
% 11.13/2.14 % ------
% 11.13/2.14 % Current options:
% 11.13/2.14 % ------
% 11.13/2.14
% 11.13/2.14
% 11.13/2.14 %
% 11.13/2.14
% 11.13/2.14 % ------ Proving...
% 11.13/2.14 %
% 11.13/2.14
% 11.13/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 11.13/2.14
% 11.13/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.13/2.14
% 11.13/2.14
%------------------------------------------------------------------------------