%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP614-1 : 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 : n014.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 01:34:51 PM UTC 2026
% Result : Unsatisfiable 2.60s 1.19s
% Output : CNFRefutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 100 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
inference(definition_unfolding,[],[f4,f2,f2]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2,
inference(cnf_transformation,[],[f5]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(inverse(double_divide(X1,inverse(X0))),double_divide(X1,inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),inverse(X3))),double_divide(X0,X2))),X1) = X3,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),double_divide(X1,double_divide(inverse(double_divide(X2,inverse(double_divide(X1,inverse(X3))))),double_divide(X2,inverse(X0))))) = X3,
inference(superposition,[status(thm)],[c_94,c_52]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),inverse(X1))),double_divide(inverse(double_divide(X2,inverse(X0))),double_divide(X2,inverse(X3))))),X3) = X1,
inference(superposition,[status(thm)],[c_94,c_52]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),inverse(X1))),double_divide(X2,double_divide(inverse(double_divide(X3,inverse(double_divide(X2,inverse(X4))))),double_divide(X3,inverse(X0)))))),X4) = X1,
inference(superposition,[status(thm)],[c_98,c_52]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(X0),double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(inverse(X2)))),X3)),double_divide(X1,X3)))),X0) = X2,
inference(superposition,[status(thm)],[c_95,c_95]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X0) = X1,
inference(demodulation,[status(thm)],[c_121,c_52]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_153,c_52]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),inverse(X1))),inverse(X2))),X0)),X1) = X2,
inference(superposition,[status(thm)],[c_153,c_52]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_159,c_153]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1))),inverse(X2))),X2) = X1,
inference(superposition,[status(thm)],[c_228,c_52]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(light_normalisation,[status(thm)],[c_266,c_228]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
inference(superposition,[status(thm)],[c_228,c_274]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_274,c_52]) ).
tcf(c_732,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(X2))) = double_divide(inverse(X1),X2),
inference(superposition,[status(thm)],[c_274,c_99]) ).
tcf(c_734,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_274,c_228]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_734,c_228]) ).
tcf(c_858,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_734,c_159]) ).
tcf(c_861,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2)) = inverse(X1),
inference(superposition,[status(thm)],[c_734,c_52]) ).
tcf(c_929,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_734,c_708]) ).
tcf(c_938,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_734,c_714]) ).
tcf(c_945,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,inverse(X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_734,c_858]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_929,c_929]) ).
tcf(c_1022,plain,
! [X0: $i] : inverse(double_divide(a2,inverse(double_divide(X0,inverse(X0))))) != a2,
inference(superposition,[status(thm)],[c_975,c_53]) ).
tcf(c_1094,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),X1)),double_divide(X2,X1)) = inverse(inverse(X2)),
inference(superposition,[status(thm)],[c_929,c_861]) ).
tcf(c_1122,plain,
! [X0: $i,X1: $i] : double_divide(inverse(inverse(X0)),double_divide(X1,X0)) = inverse(inverse(X1)),
inference(light_normalisation,[status(thm)],[c_1094,c_857]) ).
tcf(c_1123,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
inference(light_normalisation,[status(thm)],[c_1122,c_734]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),X1)),X2) = inverse(double_divide(inverse(X1),inverse(X2))),
inference(superposition,[status(thm)],[c_929,c_161]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),inverse(X1))) = double_divide(inverse(inverse(X0)),X1),
inference(light_normalisation,[status(thm)],[c_1245,c_857]) ).
tcf(c_1264,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),inverse(X1))) = double_divide(X0,X1),
inference(light_normalisation,[status(thm)],[c_1263,c_734]) ).
tcf(c_1314,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_1123,c_734]) ).
tcf(c_1327,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1314,c_938]) ).
tcf(c_1421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(double_divide(double_divide(X0,X1),double_divide(X2,double_divide(inverse(double_divide(X3,inverse(double_divide(X2,inverse(X4))))),double_divide(X3,inverse(X0)))))),X4) = X1,
inference(light_normalisation,[status(thm)],[c_103,c_1264]) ).
tcf(c_1422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(double_divide(X1,X2),double_divide(X3,double_divide(inverse(double_divide(X3,inverse(X0))),X1))))) = X2,
inference(demodulation,[status(thm)],[c_1421,c_732,c_1327]) ).
tcf(c_1427,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_1314,c_1422]) ).
tcf(c_1463,plain,
! [X0: $i] : inverse(double_divide(a2,double_divide(X0,inverse(X0)))) != a2,
inference(demodulation,[status(thm)],[c_1022,c_1427]) ).
tcf(c_1465,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1463,c_734,c_945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP614-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n014.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 15:12:35 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running UEQ theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 2.60/1.19 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.60/1.19 % SZS status Started for theBenchmark.p
% 2.60/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.60/1.19
% 2.60/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.60/1.19
% 2.60/1.19 % ------ iProver source info
% 2.60/1.19
% 2.60/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.60/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.60/1.19 % git: non_committed_changes: false
% 2.60/1.19
% 2.60/1.19 % ------ Parsing...% successful
% 2.60/1.19
% 2.60/1.19
% 2.60/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.60/1.19
% 2.60/1.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.60/1.19
% 2.60/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.60/1.19
% 2.60/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.60/1.19 % ------ Proving...
% 2.60/1.19 % ------ Problem Properties
% 2.60/1.19
% 2.60/1.19 %
% 2.60/1.19 % clauses 2
% 2.60/1.19 % conjectures 1
% 2.60/1.19 % EPR 0
% 2.60/1.19 % Horn 2
% 2.60/1.19 % unary 2
% 2.60/1.19 % binary 0
% 2.60/1.19 % lits 2
% 2.60/1.19 % lits eq 2
% 2.60/1.19 % fd_pure 0
% 2.60/1.19 % fd_pseudo 0
% 2.60/1.19 % fd_cond 0
% 2.60/1.19 % fd_pseudo_cond 0
% 2.60/1.19 % AC symbols 0
% 2.60/1.19
% 2.60/1.19 % ------ Input Options Time Limit: Unbounded
% 2.60/1.19
% 2.60/1.19
% 2.60/1.19 % ------
% 2.60/1.19 % Current options:
% 2.60/1.19 % ------
% 2.60/1.19
% 2.60/1.19
% 2.60/1.19 %
% 2.60/1.19
% 2.60/1.19 % ------ Proving...
% 2.60/1.19 %
% 2.60/1.19
% 2.60/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.60/1.19
% 2.60/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.60/1.19
% 2.60/1.19
%------------------------------------------------------------------------------