%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP433-1 : 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 : 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 01:34:05 PM UTC 2026
% Result : Unsatisfiable 0.79s 1.21s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 161 ( 50 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
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(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_62,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_60]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_60]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_63,c_62]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),iPr_def_10)) = X2,
inference(demodulation,[status(thm)],[c_51,c_62]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(inverse(iPr_def_10),X0),X1),iPr_def_10)) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_62,c_66]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(inverse(multiply(iPr_def_10,X0)),X1),inverse(X1)),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_62,c_66]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(inverse(iPr_def_10),X0)),X1),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_64]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(iPr_def_10,X0)),X1)),inverse(X1)),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_64]) ).
tcf(c_127,plain,
! [X0: $i] : inverse(multiply(multiply(iPr_def_10,X0),iPr_def_10)) = inverse(multiply(inverse(inverse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_62,c_80]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(iPr_def_10))),X0),X1)) = iPr_def_10,
inference(superposition,[status(thm)],[c_80,c_64]) ).
tcf(c_174,plain,
! [X0: $i] : inverse(multiply(multiply(iPr_def_10,inverse(inverse(inverse(multiply(iPr_def_10,X0))))),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_62,c_81]) ).
tcf(c_213,plain,
inverse(multiply(inverse(iPr_def_10),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_86,c_81]) ).
tcf(c_215,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(X0,iPr_def_10),inverse(inverse(inverse(multiply(iPr_def_10,X0))))),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_87]) ).
tcf(c_230,plain,
! [X0: $i] : inverse(multiply(multiply(inverse(multiply(iPr_def_10,inverse(iPr_def_10))),X0),inverse(X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_87,c_80]) ).
tcf(c_431,plain,
! [X0: $i] : inverse(multiply(multiply(inverse(iPr_def_10),X0),inverse(X0))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_230,c_62]) ).
tcf(c_955,plain,
multiply(multiply(inverse(iPr_def_10),iPr_def_10),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_213,c_62]) ).
tcf(c_959,plain,
inverse(multiply(iPr_def_10,inverse(inverse(inverse(iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_431]) ).
tcf(c_971,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(iPr_def_10,inverse(iPr_def_10)),X0),iPr_def_10)) = inverse(X0),
inference(superposition,[status(thm)],[c_431,c_66]) ).
tcf(c_1010,plain,
! [X0: $i] : multiply(multiply(inverse(inverse(iPr_def_10)),X0),inverse(multiply(multiply(iPr_def_10,X0),iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_127,c_62]) ).
tcf(c_1030,plain,
inverse(multiply(multiply(iPr_def_10,inverse(iPr_def_10)),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_431,c_131]) ).
tcf(c_1231,plain,
inverse(multiply(inverse(inverse(iPr_def_10)),inverse(iPr_def_10))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1030,c_127]) ).
tcf(c_1233,plain,
! [X0: $i] : inverse(multiply(multiply(iPr_def_10,X0),iPr_def_10)) = inverse(X0),
inference(demodulation,[status(thm)],[c_971,c_62]) ).
tcf(c_1238,plain,
! [X0: $i] : multiply(multiply(inverse(inverse(iPr_def_10)),X0),inverse(X0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1010,c_1233]) ).
tcf(c_1277,plain,
! [X0: $i] : inverse(multiply(inverse(inverse(iPr_def_10)),X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_127,c_1233]) ).
tcf(c_1278,plain,
! [X0: $i] : inverse(inverse(inverse(inverse(multiply(iPr_def_10,X0))))) = X0,
inference(demodulation,[status(thm)],[c_174,c_1233]) ).
tcf(c_2241,plain,
inverse(multiply(multiply(iPr_def_10,inverse(inverse(inverse(multiply(iPr_def_10,multiply(inverse(iPr_def_10),iPr_def_10)))))),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_955,c_215]) ).
tcf(c_2287,plain,
inverse(inverse(iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1231,c_1277]) ).
tcf(c_2292,plain,
multiply(inverse(iPr_def_10),iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2241,c_1233,c_1278]) ).
tcf(c_2297,plain,
! [X0: $i] : inverse(multiply(iPr_def_10,X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_1277,c_2287]) ).
tcf(c_2298,plain,
inverse(multiply(iPr_def_10,inverse(iPr_def_10))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_959,c_2287]) ).
tcf(c_2299,plain,
inverse(iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2298,c_62]) ).
tcf(c_2304,plain,
! [X0: $i] : inverse(multiply(multiply(iPr_def_10,X0),inverse(X0))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_431,c_2299]) ).
tcf(c_2364,plain,
multiply(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_2299,c_2292]) ).
tcf(c_2366,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(multiply(iPr_def_10,X0)),inverse(iPr_def_10)),iPr_def_10),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_2292,c_66]) ).
tcf(c_2380,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(X0),inverse(iPr_def_10)),iPr_def_10),iPr_def_10)) = X0,
inference(demodulation,[status(thm)],[c_2366,c_2297]) ).
tcf(c_2381,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(X0),iPr_def_10),iPr_def_10),iPr_def_10)) = X0,
inference(light_normalisation,[status(thm)],[c_2380,c_2299]) ).
tcf(c_2432,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(iPr_def_10,iPr_def_10),X0),iPr_def_10)) = inverse(X0),
inference(superposition,[status(thm)],[c_2304,c_66]) ).
tcf(c_2469,plain,
! [X0: $i] : multiply(multiply(inverse(inverse(iPr_def_10)),inverse(inverse(inverse(multiply(iPr_def_10,X0))))),X0) = iPr_def_10,
inference(superposition,[status(thm)],[c_1278,c_1238]) ).
tcf(c_2630,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(X0),iPr_def_10),iPr_def_10),iPr_def_10)) = multiply(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2297,c_2381]) ).
tcf(c_2654,plain,
! [X0: $i] : multiply(multiply(iPr_def_10,iPr_def_10),X0) = X0,
inference(superposition,[status(thm)],[c_2381,c_66]) ).
tcf(c_2668,plain,
! [X0: $i] : multiply(iPr_def_10,X0) = X0,
inference(light_normalisation,[status(thm)],[c_2654,c_2364]) ).
tcf(c_2699,plain,
! [X0: $i] : inverse(multiply(X0,iPr_def_10)) = inverse(X0),
inference(demodulation,[status(thm)],[c_2432,c_2668]) ).
tcf(c_2713,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_2630,c_2668,c_2699]) ).
tcf(c_2743,plain,
! [X0: $i] : multiply(inverse(X0),X0) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2469,c_2668,c_2713]) ).
tcf(c_2894,plain,
multiply(inverse(b1),b1) != iPr_def_10,
inference(demodulation,[status(thm)],[c_52,c_2743]) ).
tcf(c_2895,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2894,c_2743]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP433-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 14:46:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running UEQ theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 0.79/1.21 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.79/1.21 % SZS status Started for theBenchmark.p
% 0.79/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.79/1.21
% 0.79/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.79/1.21
% 0.79/1.21 % ------ iProver source info
% 0.79/1.21
% 0.79/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.79/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.79/1.21 % git: non_committed_changes: false
% 0.79/1.21
% 0.79/1.21 % ------ Parsing...% successful
% 0.79/1.21
% 0.79/1.21
% 0.79/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.79/1.21 % ------ Proving...
% 0.79/1.21 % ------ Problem Properties
% 0.79/1.21
% 0.79/1.21 %
% 0.79/1.21 % clauses 2
% 0.79/1.21 % conjectures 1
% 0.79/1.21 % EPR 0
% 0.79/1.21 % Horn 2
% 0.79/1.21 % unary 2
% 0.79/1.21 % binary 0
% 0.79/1.21 % lits 2
% 0.79/1.21 % lits eq 2
% 0.79/1.21 % fd_pure 0
% 0.79/1.21 % fd_pseudo 0
% 0.79/1.21 % fd_cond 0
% 0.79/1.21 % fd_pseudo_cond 0
% 0.79/1.21 % AC symbols 0
% 0.79/1.21
% 0.79/1.21 % ------ Input Options Time Limit: Unbounded
% 0.79/1.21
% 0.79/1.21
% 0.79/1.21 % ------
% 0.79/1.21 % Current options:
% 0.79/1.21 % ------
% 0.79/1.21
% 0.79/1.21
% 0.79/1.21 %
% 0.79/1.21
% 0.79/1.21 % ------ Proving...
% 0.79/1.21 %
% 0.79/1.21
% 0.79/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.79/1.21
% 0.79/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.79/1.21
% 0.79/1.21
%------------------------------------------------------------------------------