%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP584-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 01:34:47 PM UTC 2026
% Result : Unsatisfiable 2.24s 1.18s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 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 : 70 ( 0 sgn 70 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
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(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f7,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
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(a,b),identity) != double_divide(double_divide(b,a),identity),
inference(cnf_transformation,[],[f7]) ).
tcf(c_95,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_105,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_55,c_95]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X0),identity))),double_divide(X1,X0))),double_divide(identity,identity)) = X1,
inference(superposition,[status(thm)],[c_95,c_54]) ).
tcf(c_108,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(demodulation,[status(thm)],[c_95,c_105]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),identity) = X2,
inference(demodulation,[status(thm)],[c_54,c_105]) ).
tcf(c_114,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X0) = identity,
inference(superposition,[status(thm)],[c_108,c_55]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),identity)),identity) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X0)),identity)),
inference(superposition,[status(thm)],[c_114,c_109]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),double_divide(X1,identity))),identity) = X1,
inference(superposition,[status(thm)],[c_55,c_109]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))) = double_divide(double_divide(identity,X1),identity),
inference(superposition,[status(thm)],[c_109,c_108]) ).
tcf(c_135,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity)) = X0,
inference(demodulation,[status(thm)],[c_108,c_124]) ).
tcf(c_167,plain,
! [X0: $i] : double_divide(double_divide(double_divide(X0,identity),identity),identity) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_55,c_126]) ).
tcf(c_171,plain,
! [X0: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),identity)),identity) = identity,
inference(superposition,[status(thm)],[c_105,c_126]) ).
tcf(c_208,plain,
! [X0: $i] : double_divide(double_divide(double_divide(identity,X0),identity),identity) = double_divide(identity,double_divide(double_divide(X0,identity),identity)),
inference(superposition,[status(thm)],[c_167,c_167]) ).
tcf(c_212,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_167,c_167]) ).
tcf(c_334,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(demodulation,[status(thm)],[c_135,c_212]) ).
tcf(c_335,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,X0))) = double_divide(X0,identity),
inference(superposition,[status(thm)],[c_167,c_334]) ).
tcf(c_339,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X0),identity))) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[status(thm)],[c_167,c_334]) ).
tcf(c_349,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = double_divide(double_divide(X0,identity),identity),
inference(light_normalisation,[status(thm)],[c_339,c_212]) ).
tcf(c_423,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity) = double_divide(identity,double_divide(identity,X0)),
inference(superposition,[status(thm)],[c_334,c_335]) ).
tcf(c_426,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),identity)) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[status(thm)],[c_335,c_212]) ).
tcf(c_492,plain,
! [X0: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,identity))),identity) = identity,
inference(light_normalisation,[status(thm)],[c_171,c_212]) ).
tcf(c_504,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,identity))) = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
inference(superposition,[status(thm)],[c_492,c_334]) ).
tcf(c_510,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,identity))) = identity,
inference(light_normalisation,[status(thm)],[c_504,c_105]) ).
tcf(c_538,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,X0))) = identity,
inference(superposition,[status(thm)],[c_167,c_510]) ).
tcf(c_546,plain,
! [X0: $i] : double_divide(X0,double_divide(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_334,c_538]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(X1,X0))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_106,c_105,c_212,c_349]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(X0,identity),identity),double_divide(X1,X0)),identity)) = X1,
inference(demodulation,[status(thm)],[c_583,c_212]) ).
tcf(c_601,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),identity),identity)) = X0,
inference(superposition,[status(thm)],[c_546,c_584]) ).
tcf(c_611,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = X0,
inference(light_normalisation,[status(thm)],[c_601,c_208,c_423,c_426]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(demodulation,[status(thm)],[c_584,c_611]) ).
tcf(c_628,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_334,c_611]) ).
tcf(c_630,plain,
! [X0: $i] : double_divide(X0,identity) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_167,c_611]) ).
tcf(c_631,plain,
double_divide(double_divide(a,b),identity) != double_divide(identity,double_divide(b,a)),
inference(demodulation,[status(thm)],[c_56,c_630]) ).
tcf(c_651,plain,
! [X0: $i] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(demodulation,[status(thm)],[c_611,c_630]) ).
tcf(c_678,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(b,a)),
inference(demodulation,[status(thm)],[c_631,c_630]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_626,c_651]) ).
tcf(c_695,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_686,c_686]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))) = X1,
inference(demodulation,[status(thm)],[c_133,c_695]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(identity,X0),X1),
inference(superposition,[status(thm)],[c_695,c_712]) ).
tcf(c_728,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
inference(superposition,[status(thm)],[c_712,c_695]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(identity,X1),identity)) = double_divide(X0,double_divide(identity,double_divide(X1,identity))),
inference(superposition,[status(thm)],[c_722,c_728]) ).
tcf(c_830,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_728,c_628]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),identity) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X0)),identity)),
inference(light_normalisation,[status(thm)],[c_124,c_808]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(demodulation,[status(thm)],[c_994,c_630,c_686,c_808,c_830]) ).
tcf(c_996,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(demodulation,[status(thm)],[c_678,c_995]) ).
tcf(c_997,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_996]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP584-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 15:11:24 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running UEQ theorem proving
% 0.08/0.40 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 2.24/1.18 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.24/1.18 % SZS status Started for theBenchmark.p
% 2.24/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.18
% 2.24/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.24/1.18
% 2.24/1.18 % ------ iProver source info
% 2.24/1.18
% 2.24/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.24/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.24/1.18 % git: non_committed_changes: false
% 2.24/1.18
% 2.24/1.18 % ------ Parsing...% successful
% 2.24/1.18
% 2.24/1.18
% 2.24/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.24/1.18
% 2.24/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.24/1.18
% 2.24/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.24/1.18
% 2.24/1.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.24/1.18 % ------ Proving...
% 2.24/1.18 % ------ Problem Properties
% 2.24/1.18
% 2.24/1.18 %
% 2.24/1.18 % clauses 3
% 2.24/1.18 % conjectures 1
% 2.24/1.18 % EPR 0
% 2.24/1.18 % Horn 3
% 2.24/1.18 % unary 3
% 2.24/1.18 % binary 0
% 2.24/1.18 % lits 3
% 2.24/1.18 % lits eq 3
% 2.24/1.18 % fd_pure 0
% 2.24/1.18 % fd_pseudo 0
% 2.24/1.18 % fd_cond 0
% 2.24/1.18 % fd_pseudo_cond 0
% 2.24/1.18 % AC symbols 0
% 2.24/1.18
% 2.24/1.18 % ------ Input Options Time Limit: Unbounded
% 2.24/1.18
% 2.24/1.18
% 2.24/1.18 % ------
% 2.24/1.18 % Current options:
% 2.24/1.18 % ------
% 2.24/1.18
% 2.24/1.18
% 2.24/1.18 %
% 2.24/1.18
% 2.24/1.18 % ------ Proving...
% 2.24/1.18 %
% 2.24/1.18
% 2.24/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.18
% 2.24/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.24/1.18
% 2.24/1.18
%------------------------------------------------------------------------------