%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP495-1 : 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 : n015.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 01:34:25 PM UTC 2026
% Result : Unsatisfiable 1.75s 1.18s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 63 ( 63 unt; 0 def)
% Number of atoms : 63 ( 62 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f7,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,identity)) = identity,
inference(cnf_transformation,[],[f6]) ).
tcf(c_56,negated_conjecture,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
inference(cnf_transformation,[],[f7]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(double_divide(X0,X1),double_divide(identity,identity)),double_divide(double_divide(identity,identity),X1))) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_94,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))),identity) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,double_divide(X0,identity)),double_divide(identity,identity)),identity)) = X1,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_110,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),identity) = double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))),
inference(superposition,[status(thm)],[c_94,c_94]) ).
tcf(c_112,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))) = X0,
inference(demodulation,[status(thm)],[c_94,c_110]) ).
tcf(c_184,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,double_divide(identity,identity)),identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_98]) ).
tcf(c_224,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
inference(demodulation,[status(thm)],[c_184,c_55]) ).
tcf(c_226,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_55,c_224]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,X1))) = identity,
inference(superposition,[status(thm)],[c_224,c_54]) ).
tcf(c_237,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(X0,identity),identity)) = identity,
inference(superposition,[status(thm)],[c_224,c_98]) ).
tcf(c_239,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),identity) = X0,
inference(demodulation,[status(thm)],[c_224,c_226]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,double_divide(X0,identity)),identity),identity)) = X1,
inference(demodulation,[status(thm)],[c_98,c_226]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(identity,X1))) = X0,
inference(demodulation,[status(thm)],[c_93,c_226]) ).
tcf(c_242,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),identity)) = X0,
inference(demodulation,[status(thm)],[c_112,c_226]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2))) = X1,
inference(demodulation,[status(thm)],[c_54,c_226]) ).
tcf(c_290,plain,
! [X0: $i] : double_divide(identity,double_divide(X0,double_divide(identity,X0))) = identity,
inference(superposition,[status(thm)],[c_226,c_230]) ).
tcf(c_310,plain,
! [X0: $i] : double_divide(X0,double_divide(identity,X0)) = double_divide(identity,identity),
inference(superposition,[status(thm)],[c_290,c_239]) ).
tcf(c_312,plain,
! [X0: $i] : double_divide(X0,double_divide(identity,X0)) = identity,
inference(light_normalisation,[status(thm)],[c_310,c_226]) ).
tcf(c_347,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(X0,identity),identity)) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_239,c_242]) ).
tcf(c_357,plain,
! [X0: $i] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(demodulation,[status(thm)],[c_242,c_347]) ).
tcf(c_398,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),X0) = identity,
inference(superposition,[status(thm)],[c_357,c_312]) ).
tcf(c_580,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,identity),double_divide(identity,double_divide(X0,identity)))) = X0,
inference(superposition,[status(thm)],[c_55,c_241]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,X1),identity),double_divide(identity,X1)) = double_divide(X0,identity),
inference(superposition,[status(thm)],[c_241,c_239]) ).
tcf(c_616,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_580,c_226,c_357]) ).
tcf(c_707,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(double_divide(identity,identity),identity)) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_237,c_240]) ).
tcf(c_711,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,identity),identity)) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[status(thm)],[c_398,c_240]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,X0),identity),identity)) = X1,
inference(superposition,[status(thm)],[c_239,c_240]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(double_divide(X1,X0),identity),identity)) = X1,
inference(light_normalisation,[status(thm)],[c_713,c_616]) ).
tcf(c_723,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = X0,
inference(light_normalisation,[status(thm)],[c_711,c_226,c_239]) ).
tcf(c_725,plain,
! [X0: $i] : double_divide(X0,identity) = double_divide(identity,X0),
inference(light_normalisation,[status(thm)],[c_707,c_226,c_357]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))) = X1,
inference(demodulation,[status(thm)],[c_240,c_723]) ).
tcf(c_732,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(identity,double_divide(b3,a3))),identity),
inference(demodulation,[status(thm)],[c_56,c_725]) ).
tcf(c_756,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,X2))) = X1,
inference(demodulation,[status(thm)],[c_244,c_725]) ).
tcf(c_777,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),X1)) = X0,
inference(superposition,[status(thm)],[c_357,c_756]) ).
tcf(c_792,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_777,c_226]) ).
tcf(c_894,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(demodulation,[status(thm)],[c_732,c_725]) ).
tcf(c_965,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_722,c_357,c_725]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_965,c_965]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,X1)) = double_divide(X0,double_divide(identity,X2)),
inference(superposition,[status(thm)],[c_756,c_983]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(identity,X0),X1),
inference(superposition,[status(thm)],[c_983,c_729]) ).
tcf(c_1017,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
inference(superposition,[status(thm)],[c_729,c_983]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(identity,X1)) = double_divide(double_divide(identity,X0),double_divide(X1,identity)),
inference(superposition,[status(thm)],[c_1017,c_1011]) ).
tcf(c_1370,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X1,identity)) = double_divide(X0,identity),
inference(demodulation,[status(thm)],[c_602,c_1109]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,X1))),X1) = double_divide(X0,identity),
inference(superposition,[status(thm)],[c_983,c_1370]) ).
tcf(c_1452,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(identity,X0),X1)) = double_divide(double_divide(X1,identity),X0),
inference(superposition,[status(thm)],[c_983,c_792]) ).
tcf(c_1488,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(a3,identity),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_894,c_1452]) ).
tcf(c_1621,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_1488,c_1011]) ).
tcf(c_1655,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,double_divide(identity,X1))) = double_divide(X1,double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_1399,c_965]) ).
tcf(c_1689,plain,
double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity)),
inference(demodulation,[status(thm)],[c_1621,c_1655]) ).
tcf(c_1825,plain,
double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
inference(demodulation,[status(thm)],[c_1689,c_1017]) ).
tcf(c_4044,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(identity,X2)) = double_divide(double_divide(identity,X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_983,c_993]) ).
tcf(c_4170,plain,
double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_1825,c_4044]) ).
tcf(c_4171,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_4170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP495-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 14:57:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running UEQ theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 1.75/1.18 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.75/1.18 % SZS status Started for theBenchmark.p
% 1.75/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.18
% 1.75/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.75/1.18
% 1.75/1.18 % ------ iProver source info
% 1.75/1.18
% 1.75/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.75/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.75/1.18 % git: non_committed_changes: false
% 1.75/1.18
% 1.75/1.18 % ------ Parsing...% successful
% 1.75/1.18
% 1.75/1.18
% 1.75/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.75/1.18
% 1.75/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.75/1.18
% 1.75/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.75/1.18
% 1.75/1.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.75/1.18 % ------ Proving...
% 1.75/1.18 % ------ Problem Properties
% 1.75/1.18
% 1.75/1.18 %
% 1.75/1.18 % clauses 3
% 1.75/1.18 % conjectures 1
% 1.75/1.18 % EPR 0
% 1.75/1.18 % Horn 3
% 1.75/1.18 % unary 3
% 1.75/1.18 % binary 0
% 1.75/1.18 % lits 3
% 1.75/1.18 % lits eq 3
% 1.75/1.18 % fd_pure 0
% 1.75/1.18 % fd_pseudo 0
% 1.75/1.18 % fd_cond 0
% 1.75/1.18 % fd_pseudo_cond 0
% 1.75/1.18 % AC symbols 0
% 1.75/1.18
% 1.75/1.18 % ------ Input Options Time Limit: Unbounded
% 1.75/1.18
% 1.75/1.18
% 1.75/1.18 % ------
% 1.75/1.18 % Current options:
% 1.75/1.18 % ------
% 1.75/1.18
% 1.75/1.18
% 1.75/1.18 %
% 1.75/1.18
% 1.75/1.18 % ------ Proving...
% 1.75/1.18 %
% 1.75/1.18
% 1.75/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.18
% 1.75/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.75/1.18
% 1.75/1.18
%------------------------------------------------------------------------------