%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP615-1 : 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 01:34:51 PM UTC 2026
% Result : Unsatisfiable 4.62s 1.21s
% Output : CNFRefutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 104 !; 0 ?; 99 :)
% 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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(definition_unfolding,[],[f3,f2,f2,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(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(cnf_transformation,[],[f4]) ).
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_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_144,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_148,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),X1)),double_divide(inverse(double_divide(inverse(inverse(X2)),inverse(X0))),X1)) = X2,
inference(superposition,[status(thm)],[c_144,c_52]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_144,c_52]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_150,c_144]) ).
tcf(c_222,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_207,c_52]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(light_normalisation,[status(thm)],[c_222,c_207]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_230,c_52]) ).
tcf(c_266,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_230,c_207]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_266,c_144]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(X0,inverse(X1))),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_266,c_230]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(inverse(double_divide(X1,X0)),double_divide(X1,inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c_266,c_94]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_266,c_251]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
inference(superposition,[status(thm)],[c_394,c_362]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i] : double_divide(inverse(inverse(X0)),double_divide(inverse(X1),X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_362,c_362]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(inverse(X1),X0)) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_601,c_266]) ).
tcf(c_618,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_53,c_597]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_266,c_604]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_632,c_394]) ).
tcf(c_669,plain,
inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != double_divide(inverse(a3),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_618,c_665]) ).
tcf(c_713,plain,
inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != double_divide(inverse(a3),double_divide(b3,c3)),
inference(demodulation,[status(thm)],[c_669,c_665]) ).
tcf(c_740,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(X1,inverse(X0)))) = inverse(X1),
inference(demodulation,[status(thm)],[c_366,c_665]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_740,c_394]) ).
tcf(c_757,plain,
double_divide(double_divide(a3,b3),inverse(c3)) != double_divide(inverse(a3),double_divide(b3,c3)),
inference(demodulation,[status(thm)],[c_713,c_750]) ).
tcf(c_762,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)),
inference(demodulation,[status(thm)],[c_757,c_665]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
inference(superposition,[status(thm)],[c_665,c_597]) ).
tcf(c_830,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_665,c_750]) ).
tcf(c_866,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X0,X1)),
inference(superposition,[status(thm)],[c_266,c_808]) ).
tcf(c_1154,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(inverse(X1),double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c_394,c_370]) ).
tcf(c_1204,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(inverse(inverse(X2)),inverse(X0))),X1)) = X2,
inference(light_normalisation,[status(thm)],[c_148,c_830]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(inverse(X2),X0),X1)) = X2,
inference(demodulation,[status(thm)],[c_1204,c_808,c_830,c_866]) ).
tcf(c_1208,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(X0),X1),double_divide(double_divide(inverse(X2),X1),X0)) = X2,
inference(superposition,[status(thm)],[c_665,c_1205]) ).
tcf(c_1218,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(double_divide(inverse(X2),X0),inverse(X1))) = X2,
inference(superposition,[status(thm)],[c_266,c_1205]) ).
tcf(c_1613,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(inverse(X1),double_divide(X0,X2))) = inverse(X2),
inference(superposition,[status(thm)],[c_266,c_1154]) ).
tcf(c_1808,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(X0),X1),X2) = double_divide(double_divide(inverse(X2),X1),X0),
inference(superposition,[status(thm)],[c_1208,c_394]) ).
tcf(c_1906,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(X0),X1),inverse(X2)) = double_divide(double_divide(X1,X2),X0),
inference(superposition,[status(thm)],[c_1218,c_394]) ).
tcf(c_2584,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(X2)) = double_divide(inverse(X1),double_divide(X0,X2)),
inference(superposition,[status(thm)],[c_1613,c_394]) ).
tcf(c_2848,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(X0),X1),X2) = double_divide(X0,double_divide(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_1808,c_665]) ).
tcf(c_2884,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),X2) = double_divide(X2,double_divide(X1,X0)),
inference(demodulation,[status(thm)],[c_1906,c_266,c_2848]) ).
tcf(c_4680,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X2),double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_2584,c_665]) ).
tcf(c_4698,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_2584,c_2884]) ).
tcf(c_4724,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(b3),double_divide(a3,c3)),
inference(demodulation,[status(thm)],[c_762,c_4680]) ).
tcf(c_4920,plain,
$false,
inference(ground_joinability,[status(thm)],[c_4724,c_665,c_4698]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP615-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 15:09:01 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running UEQ theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.62/1.21 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 4.62/1.21 % SZS status Started for theBenchmark.p
% 4.62/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.62/1.21
% 4.62/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.62/1.21
% 4.62/1.21 % ------ iProver source info
% 4.62/1.21
% 4.62/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 4.62/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.62/1.21 % git: non_committed_changes: false
% 4.62/1.21
% 4.62/1.21 % ------ Parsing...% successful
% 4.62/1.21
% 4.62/1.21
% 4.62/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.62/1.21
% 4.62/1.21 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.62/1.21
% 4.62/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.62/1.21
% 4.62/1.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.62/1.21 % ------ Proving...
% 4.62/1.21 % ------ Problem Properties
% 4.62/1.21
% 4.62/1.21 %
% 4.62/1.21 % clauses 2
% 4.62/1.21 % conjectures 1
% 4.62/1.21 % EPR 0
% 4.62/1.21 % Horn 2
% 4.62/1.21 % unary 2
% 4.62/1.21 % binary 0
% 4.62/1.21 % lits 2
% 4.62/1.21 % lits eq 2
% 4.62/1.21 % fd_pure 0
% 4.62/1.21 % fd_pseudo 0
% 4.62/1.21 % fd_cond 0
% 4.62/1.21 % fd_pseudo_cond 0
% 4.62/1.21 % AC symbols 0
% 4.62/1.21
% 4.62/1.21 % ------ Input Options Time Limit: Unbounded
% 4.62/1.21
% 4.62/1.21
% 4.62/1.21 % ------
% 4.62/1.21 % Current options:
% 4.62/1.21 % ------
% 4.62/1.21
% 4.62/1.21
% 4.62/1.21 %
% 4.62/1.21
% 4.62/1.21 % ------ Proving...
% 4.62/1.21 %
% 4.62/1.21
% 4.62/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.62/1.21
% 4.62/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.62/1.21
% 4.62/1.21
%------------------------------------------------------------------------------