%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP439-1 : 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 : n012.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 01:34:06 PM UTC 2026
% Result : Unsatisfiable 11.64s 2.06s
% Output : CNFRefutation 11.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 69 ( 0 sgn 69 !; 0 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[],[f2]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),X2),inverse(multiply(X3,multiply(X4,X2))))),X3)))) = X4,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = X2,
inference(superposition,[status(thm)],[c_94,c_51]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X2,multiply(X6,X8)))))),
inference(superposition,[status(thm)],[c_51,c_105]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(inverse(X2),multiply(multiply(inverse(X3),multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7)),X4)),X3)))) = X2,
inference(superposition,[status(thm)],[c_105,c_94]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(X0,X2)))))) = X3,
inference(superposition,[status(thm)],[c_125,c_105]) ).
tcf(c_2692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(X0,multiply(X1,multiply(X2,inverse(multiply(inverse(X3),multiply(X0,multiply(X4,multiply(multiply(inverse(X4),X5),inverse(multiply(inverse(X2),multiply(inverse(X1),X5))))))))))) = X3,
inference(superposition,[status(thm)],[c_1790,c_1790]) ).
tcf(c_4310,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1))))) = X2,
inference(superposition,[status(thm)],[c_1790,c_2692]) ).
tcf(c_4798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))) = X1,
inference(superposition,[status(thm)],[c_4310,c_4310]) ).
tcf(c_5642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),X3))) = X1,
inference(superposition,[status(thm)],[c_138,c_4798]) ).
tcf(c_5898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(X2,multiply(X3,inverse(multiply(X4,X3)))),X4)),inverse(X2)))) = X0,
inference(superposition,[status(thm)],[c_5642,c_1790]) ).
tcf(c_6528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,inverse(multiply(inverse(X4),X3))),X2)))),multiply(X4,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_4310,c_5898]) ).
tcf(c_10304,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_6528,c_5642]) ).
tcf(c_10319,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_10304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP439-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Wed Sep 23 14:45:21 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running UEQ theorem proving
% 0.03/0.32 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
% 0.03/0.33
% 0.03/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.33
% 0.03/0.33 % Detected problem language: tptp
% 0.09/0.34 % Proving...
% 11.64/2.06 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 11.64/2.06 % SZS status Started for theBenchmark.p
% 11.64/2.06 % SZS status Unsatisfiable for theBenchmark.p
% 11.64/2.06
% 11.64/2.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.64/2.06
% 11.64/2.06 % ------ iProver source info
% 11.64/2.06
% 11.64/2.06 % git: date: 2026-07-19 20:42:38 +0200
% 11.64/2.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.64/2.06 % git: non_committed_changes: false
% 11.64/2.06
% 11.64/2.06 % ------ Parsing...% successful
% 11.64/2.06
% 11.64/2.06
% 11.64/2.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.64/2.06
% 11.64/2.06 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 11.64/2.06
% 11.64/2.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.64/2.06
% 11.64/2.06 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.64/2.06 % ------ Proving...
% 11.64/2.06 % ------ Problem Properties
% 11.64/2.06
% 11.64/2.06 %
% 11.64/2.06 % clauses 2
% 11.64/2.06 % conjectures 1
% 11.64/2.06 % EPR 0
% 11.64/2.06 % Horn 2
% 11.64/2.06 % unary 2
% 11.64/2.06 % binary 0
% 11.64/2.06 % lits 2
% 11.64/2.06 % lits eq 2
% 11.64/2.06 % fd_pure 0
% 11.64/2.06 % fd_pseudo 0
% 11.64/2.06 % fd_cond 0
% 11.64/2.06 % fd_pseudo_cond 0
% 11.64/2.06 % AC symbols 0
% 11.64/2.06
% 11.64/2.06 % ------ Input Options Time Limit: Unbounded
% 11.64/2.06
% 11.64/2.06
% 11.64/2.06 % ------
% 11.64/2.06 % Current options:
% 11.64/2.06 % ------
% 11.64/2.06
% 11.64/2.06
% 11.64/2.06 %
% 11.64/2.06
% 11.64/2.06 % ------ Proving...
% 11.64/2.06 %
% 11.64/2.06
% 11.64/2.06 % SZS status Unsatisfiable for theBenchmark.p
% 11.64/2.06
% 11.64/2.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.64/2.06
% 11.64/2.06
%------------------------------------------------------------------------------