%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP605-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 01:34:50 PM UTC 2026
% Result : Unsatisfiable 2.63s 1.19s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 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; 2 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 105 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1)))),X2) = X3,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))) = double_divide(inverse(double_divide(X2,inverse(X1))),X3),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_103,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(superposition,[status(thm)],[c_95,c_52]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(X3))),X2)),X1) = X3,
inference(superposition,[status(thm)],[c_52,c_103]) ).
tcf(c_124,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_103,c_103]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),double_divide(X1,double_divide(X1,inverse(X2))))),X0) = X2,
inference(superposition,[status(thm)],[c_52,c_124]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X2,inverse(X3)))) = double_divide(inverse(double_divide(X0,inverse(X3))),X1),
inference(superposition,[status(thm)],[c_144,c_52]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),inverse(X3)) = double_divide(X0,inverse(double_divide(inverse(double_divide(X1,inverse(X3))),X2))),
inference(superposition,[status(thm)],[c_195,c_95]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_93,c_52,c_287]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(inverse(X2),inverse(X1)),
inference(superposition,[status(thm)],[c_52,c_355]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(double_divide(inverse(X1),X2)))),inverse(double_divide(inverse(X2),X0))) = X1,
inference(superposition,[status(thm)],[c_355,c_52]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),X2)))),X3) = double_divide(inverse(double_divide(X0,X3)),double_divide(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_355,c_195]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X0) = X1,
inference(demodulation,[status(thm)],[c_52,c_356]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_374,c_103]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X2) = double_divide(inverse(X1),double_divide(inverse(X2),X0)),
inference(superposition,[status(thm)],[c_356,c_374]) ).
tcf(c_528,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),X1)),double_divide(inverse(inverse(double_divide(inverse(X1),X2))),X2)) = X0,
inference(demodulation,[status(thm)],[c_364,c_478]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_528,c_454]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_454,c_355]) ).
tcf(c_824,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_716,c_103]) ).
tcf(c_834,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
inference(superposition,[status(thm)],[c_716,c_706]) ).
tcf(c_836,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(light_normalisation,[status(thm)],[c_824,c_716]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_836,c_478]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(inverse(X0),double_divide(inverse(X1),X2))) = double_divide(inverse(X1),double_divide(inverse(X2),inverse(X0))),
inference(superposition,[status(thm)],[c_356,c_971]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
inference(superposition,[status(thm)],[c_355,c_971]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
inference(demodulation,[status(thm)],[c_716,c_975]) ).
tcf(c_1056,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_971,c_975]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(double_divide(inverse(X0),X1),X2)) = double_divide(inverse(X2),double_divide(inverse(X1),X0)),
inference(superposition,[status(thm)],[c_975,c_975]) ).
tcf(c_1066,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X1),X1) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1056,c_975]) ).
tcf(c_1068,plain,
! [X0: $i,X1: $i] : inverse(double_divide(double_divide(inverse(X0),X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_971,c_1061]) ).
tcf(c_1097,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_834,c_1066]) ).
tcf(c_1100,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_1066,c_994]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_1100,c_1066]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_116,c_367,c_972,c_975,c_1061,c_1068]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1241,c_1241]) ).
tcf(c_1247,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1241,c_1106]) ).
tcf(c_1265,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
inference(superposition,[status(thm)],[c_1247,c_975]) ).
tcf(c_1266,plain,
inverse(double_divide(b1,inverse(b1))) != double_divide(inverse(a1),a1),
inference(demodulation,[status(thm)],[c_53,c_1265]) ).
tcf(c_1268,plain,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(demodulation,[status(thm)],[c_1266,c_1247,c_1265]) ).
tcf(c_1269,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X0)),X1) = inverse(X1),
inference(demodulation,[status(thm)],[c_1097,c_1247]) ).
tcf(c_1278,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_1269,c_1245]) ).
tcf(c_1285,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1268,c_1278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP605-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 15:12:13 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running UEQ theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 2.63/1.19 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.63/1.19 % SZS status Started for theBenchmark.p
% 2.63/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.63/1.19
% 2.63/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.63/1.19
% 2.63/1.19 % ------ iProver source info
% 2.63/1.19
% 2.63/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.63/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.63/1.19 % git: non_committed_changes: false
% 2.63/1.19
% 2.63/1.19 % ------ Parsing...% successful
% 2.63/1.19
% 2.63/1.19
% 2.63/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.63/1.19
% 2.63/1.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.63/1.19
% 2.63/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.63/1.19
% 2.63/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.63/1.19 % ------ Proving...
% 2.63/1.19 % ------ Problem Properties
% 2.63/1.19
% 2.63/1.19 %
% 2.63/1.19 % clauses 2
% 2.63/1.19 % conjectures 1
% 2.63/1.19 % EPR 0
% 2.63/1.19 % Horn 2
% 2.63/1.19 % unary 2
% 2.63/1.19 % binary 0
% 2.63/1.19 % lits 2
% 2.63/1.19 % lits eq 2
% 2.63/1.19 % fd_pure 0
% 2.63/1.19 % fd_pseudo 0
% 2.63/1.19 % fd_cond 0
% 2.63/1.19 % fd_pseudo_cond 0
% 2.63/1.19 % AC symbols 0
% 2.63/1.19
% 2.63/1.19 % ------ Input Options Time Limit: Unbounded
% 2.63/1.19
% 2.63/1.19
% 2.63/1.19 % ------
% 2.63/1.19 % Current options:
% 2.63/1.19 % ------
% 2.63/1.19
% 2.63/1.19
% 2.63/1.19 %
% 2.63/1.19
% 2.63/1.19 % ------ Proving...
% 2.63/1.19 %
% 2.63/1.19
% 2.63/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.63/1.19
% 2.63/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.63/1.20
% 2.63/1.20
%------------------------------------------------------------------------------