%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP425-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 01:33:53 PM UTC 2026
% Result : Unsatisfiable 2.05s 1.95s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 16 ( 3 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 92 !; 0 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[],[f3]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X2,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_51,c_95]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_94,c_51]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(superposition,[status(thm)],[c_94,c_94]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))) = X1,
inference(superposition,[status(thm)],[c_94,c_51]) ).
tcf(c_946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))),multiply(inverse(X2),X2))))),X1) = X3,
inference(superposition,[status(thm)],[c_51,c_382]) ).
tcf(c_953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3))),
inference(superposition,[status(thm)],[c_382,c_51]) ).
tcf(c_2335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))),
inference(superposition,[status(thm)],[c_946,c_387]) ).
tcf(c_2846,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))) = X1,
inference(superposition,[status(thm)],[c_953,c_51]) ).
tcf(c_3314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))),
inference(superposition,[status(thm)],[c_51,c_2335]) ).
tcf(c_3547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(X0,inverse(X2)),
inference(superposition,[status(thm)],[c_2335,c_2846]) ).
tcf(c_3878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4),
inference(superposition,[status(thm)],[c_3547,c_397]) ).
tcf(c_3901,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2) = X1,
inference(light_normalisation,[status(thm)],[c_3878,c_397]) ).
tcf(c_6668,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_51,c_3314]) ).
tcf(c_7561,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_6668,c_6668]) ).
tcf(c_7726,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_7561,c_51]) ).
tcf(c_7749,plain,
! [X0: $i] : multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[c_7561,c_52]) ).
tcf(c_7771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(X4),X4))) = X3,
inference(superposition,[status(thm)],[c_7561,c_96]) ).
tcf(c_7783,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))),X1) = X1,
inference(superposition,[status(thm)],[c_7561,c_3901]) ).
tcf(c_8300,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) = multiply(inverse(X1),X1),
inference(demodulation,[status(thm)],[c_104,c_7771]) ).
tcf(c_8305,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_7561,c_8300]) ).
tcf(c_8321,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_7561,c_7726]) ).
tcf(c_8375,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(X0),X0)),X0) = X0,
inference(light_normalisation,[status(thm)],[c_7783,c_8321]) ).
tcf(c_8376,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_7561,c_8375]) ).
tcf(c_8421,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(demodulation,[status(thm)],[c_8305,c_8376]) ).
tcf(c_8443,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(X0),X0)),a2) != a2,
inference(superposition,[status(thm)],[c_8421,c_7749]) ).
tcf(c_8448,plain,
$false,
inference(ground_joinability,[status(thm)],[c_8443,c_8376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP425-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.58 % Computer : n017.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.59 % CPULimit : 300
% 0.11/0.59 % WCLimit : 300
% 0.11/0.59 % DateTime : Wed Sep 23 14:39:01 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.62 Running UEQ theorem proving
% 0.11/0.62 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
% 0.16/0.63
% 0.16/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.63
% 0.16/0.63 % Detected problem language: tptp
% 0.16/0.64 % Proving...
% 2.05/1.95 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.05/1.95 % SZS status Started for theBenchmark.p
% 2.05/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.95
% 2.05/1.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.05/1.95
% 2.05/1.95 % ------ iProver source info
% 2.05/1.95
% 2.05/1.95 % git: date: 2026-07-19 20:42:38 +0200
% 2.05/1.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.05/1.95 % git: non_committed_changes: false
% 2.05/1.95
% 2.05/1.95 % ------ Parsing...% successful
% 2.05/1.95
% 2.05/1.95
% 2.05/1.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.05/1.95
% 2.05/1.95 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.05/1.95
% 2.05/1.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.05/1.95
% 2.05/1.95 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.05/1.95 % ------ Proving...
% 2.05/1.95 % ------ Problem Properties
% 2.05/1.95
% 2.05/1.95 %
% 2.05/1.95 % clauses 2
% 2.05/1.95 % conjectures 1
% 2.05/1.95 % EPR 0
% 2.05/1.95 % Horn 2
% 2.05/1.95 % unary 2
% 2.05/1.95 % binary 0
% 2.05/1.95 % lits 2
% 2.05/1.95 % lits eq 2
% 2.05/1.95 % fd_pure 0
% 2.05/1.95 % fd_pseudo 0
% 2.05/1.95 % fd_cond 0
% 2.05/1.95 % fd_pseudo_cond 0
% 2.05/1.95 % AC symbols 0
% 2.05/1.95
% 2.05/1.95 % ------ Input Options Time Limit: Unbounded
% 2.05/1.95
% 2.05/1.95
% 2.05/1.95 % ------
% 2.05/1.95 % Current options:
% 2.05/1.95 % ------
% 2.05/1.95
% 2.05/1.95
% 2.05/1.95 %
% 2.05/1.95
% 2.05/1.95 % ------ Proving...
% 2.05/1.95 %
% 2.05/1.95
% 2.05/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.95
% 2.05/1.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.05/1.95
% 2.05/1.95
%------------------------------------------------------------------------------