%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP118-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 01:30:56 PM UTC 2026
% Result : Unsatisfiable 2.33s 1.26s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 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 : 82 ( 0 sgn 82 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_order3) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2)))))) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_51,c_91]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(multiply(identity,X2),multiply(identity,X2)))) = X1,
inference(superposition,[status(thm)],[c_51,c_91]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(X2,X2)))),multiply(multiply(identity,multiply(multiply(identity,X2),X3)),multiply(identity,multiply(X3,X3))))) = X1,
inference(superposition,[status(thm)],[c_51,c_91]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2)))) = multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),
inference(superposition,[status(thm)],[c_91,c_51]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
inference(demodulation,[status(thm)],[c_91,c_96]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(demodulation,[status(thm)],[c_51,c_96]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,multiply(X1,X2)),multiply(identity,X3)) = multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3)),
inference(superposition,[status(thm)],[c_96,c_96]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(superposition,[status(thm)],[c_96,c_112]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(demodulation,[status(thm)],[c_147,c_96]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(X0,X1)),multiply(multiply(identity,X2),multiply(X2,X2)))) = X1,
inference(demodulation,[status(thm)],[c_100,c_96,c_144]) ).
tcf(c_307,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,X2),multiply(X2,X2)))) = multiply(X0,multiply(X0,multiply(X1,identity))),
inference(superposition,[status(thm)],[c_192,c_303]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2))))),X2)) = X1,
inference(demodulation,[status(thm)],[c_111,c_96]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3))))),X3)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_96,c_366]) ).
tcf(c_381,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_366,c_372]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(demodulation,[status(thm)],[c_192,c_381]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,multiply(identity,multiply(identity,X2)))) = multiply(multiply(X0,X1),X2),
inference(demodulation,[status(thm)],[c_90,c_144,c_307,c_381]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,multiply(X2,multiply(identity,X3)))) = multiply(multiply(X0,multiply(X1,X2)),X3),
inference(superposition,[status(thm)],[c_96,c_433]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(X1,multiply(identity,X2))),X2) = multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),
inference(demodulation,[status(thm)],[c_108,c_96,c_435]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),multiply(identity,X3)) = multiply(multiply(X0,multiply(X1,multiply(identity,X2))),multiply(X2,X3)),
inference(superposition,[status(thm)],[c_465,c_96]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(X0,X1)),X2)) = multiply(X1,multiply(identity,X2)),
inference(superposition,[status(thm)],[c_383,c_96]) ).
tcf(c_730,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(X1,multiply(X1,multiply(multiply(identity,X1),X2)))),multiply(X2,X2)) = X0,
inference(demodulation,[status(thm)],[c_103,c_96,c_435,c_471,c_510]) ).
tcf(c_734,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(identity,X0),X1),multiply(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_383,c_730]) ).
tcf(c_1533,plain,
! [X0: $i] : multiply(multiply(multiply(identity,X0),identity),identity) = X0,
inference(superposition,[status(thm)],[c_381,c_734]) ).
tcf(c_1647,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_1533,c_381]) ).
tcf(c_1651,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_96,c_1647]) ).
tcf(c_1652,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_1651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP118-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 13:36:19 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.45 Running UEQ theorem proving
% 0.17/0.45 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
% 0.17/0.46
% 0.17/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.46
% 0.17/0.47 % Detected problem language: tptp
% 0.17/0.48 % Proving...
% 2.33/1.26 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.33/1.26 % SZS status Started for theBenchmark.p
% 2.33/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.26
% 2.33/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.33/1.26
% 2.33/1.26 % ------ iProver source info
% 2.33/1.26
% 2.33/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.33/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.33/1.26 % git: non_committed_changes: false
% 2.33/1.26
% 2.33/1.26 % ------ Parsing...% successful
% 2.33/1.26
% 2.33/1.26
% 2.33/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.33/1.26
% 2.33/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.33/1.26
% 2.33/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.33/1.26
% 2.33/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.33/1.26 % ------ Proving...
% 2.33/1.26 % ------ Problem Properties
% 2.33/1.26
% 2.33/1.26 %
% 2.33/1.26 % clauses 2
% 2.33/1.26 % conjectures 1
% 2.33/1.26 % EPR 0
% 2.33/1.26 % Horn 2
% 2.33/1.26 % unary 2
% 2.33/1.26 % binary 0
% 2.33/1.26 % lits 2
% 2.33/1.26 % lits eq 2
% 2.33/1.26 % fd_pure 0
% 2.33/1.26 % fd_pseudo 0
% 2.33/1.26 % fd_cond 0
% 2.33/1.26 % fd_pseudo_cond 0
% 2.33/1.26 % AC symbols 0
% 2.33/1.26
% 2.33/1.26 % ------ Input Options Time Limit: Unbounded
% 2.33/1.26
% 2.33/1.26
% 2.33/1.26 % ------
% 2.33/1.26 % Current options:
% 2.33/1.26 % ------
% 2.33/1.26
% 2.33/1.26
% 2.33/1.26 %
% 2.33/1.26
% 2.33/1.26 % ------ Proving...
% 2.33/1.26 %
% 2.33/1.26
% 2.33/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.26
% 2.33/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.33/1.26
% 2.33/1.26
%------------------------------------------------------------------------------