%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP498-1 : 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 : 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 01:34:25 PM UTC 2026
% Result : Unsatisfiable 3.25s 6.20s
% Output : CNFRefutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 0 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/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,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),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(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_95,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),identity))),double_divide(X2,identity)) = double_divide(X1,double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_103,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_54,c_55]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(light_normalisation,[status(thm)],[c_95,c_103]) ).
tcf(c_117,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_114]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = double_divide(identity,double_divide(X1,identity)),
inference(superposition,[status(thm)],[c_114,c_114]) ).
tcf(c_146,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_117,c_114]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(superposition,[status(thm)],[c_123,c_123]) ).
tcf(c_181,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,identity))) = identity,
inference(superposition,[status(thm)],[c_146,c_55]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,double_divide(X1,X0)),identity),X1) = identity,
inference(superposition,[status(thm)],[c_114,c_181]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(X1,X0)),identity) = double_divide(identity,double_divide(double_divide(X1,identity),identity)),
inference(superposition,[status(thm)],[c_189,c_114]) ).
tcf(c_227,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(demodulation,[status(thm)],[c_114,c_217]) ).
tcf(c_228,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(light_normalisation,[status(thm)],[c_227,c_146]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = double_divide(double_divide(X1,identity),identity),
inference(superposition,[status(thm)],[c_55,c_175]) ).
tcf(c_269,plain,
! [X0: $i] : double_divide(X0,double_divide(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_175,c_55]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = double_divide(double_divide(identity,X1),identity),
inference(superposition,[status(thm)],[c_269,c_175]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(superposition,[status(thm)],[c_175,c_228]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0))))) = double_divide(X1,identity),
inference(superposition,[status(thm)],[c_252,c_358]) ).
tcf(c_579,plain,
! [X0: $i] : double_divide(X0,identity) = double_divide(identity,X0),
inference(light_normalisation,[status(thm)],[c_554,c_358]) ).
tcf(c_587,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_579]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = double_divide(identity,double_divide(identity,X1)),
inference(demodulation,[status(thm)],[c_295,c_579]) ).
tcf(c_618,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_587,c_579]) ).
tcf(c_626,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X0)))) = X0,
inference(superposition,[status(thm)],[c_579,c_358]) ).
tcf(c_711,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(identity,X0)),
inference(superposition,[status(thm)],[c_55,c_588]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X1)),X0)) = X2,
inference(superposition,[status(thm)],[c_588,c_358]) ).
tcf(c_797,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),X0))) = X1,
inference(superposition,[status(thm)],[c_588,c_626]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(identity,double_divide(identity,X1)),X0)) = X1,
inference(superposition,[status(thm)],[c_626,c_588]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(identity,double_divide(identity,X1))) = X0,
inference(demodulation,[status(thm)],[c_99,c_711]) ).
tcf(c_1030,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),identity)) = X0,
inference(superposition,[status(thm)],[c_269,c_797]) ).
tcf(c_1036,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),X1)) = double_divide(double_divide(X1,identity),double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_879,c_797]) ).
tcf(c_1555,plain,
! [X0: $i] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(demodulation,[status(thm)],[c_1030,c_103,c_1036]) ).
tcf(c_1588,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1555,c_770]) ).
tcf(c_1610,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_817,c_1588]) ).
tcf(c_1611,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),X1) = X0,
inference(demodulation,[status(thm)],[c_879,c_1610]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_1588,c_1588]) ).
tcf(c_1726,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),X1) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_1619,c_1611]) ).
tcf(c_1760,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(X0,identity),X1)) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[status(thm)],[c_1619,c_1726]) ).
tcf(c_1762,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,X1))),X1) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_579,c_1726]) ).
tcf(c_1769,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,double_divide(X1,identity))) = double_divide(X1,double_divide(identity,X0)),
inference(superposition,[status(thm)],[c_1726,c_1588]) ).
tcf(c_1895,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(identity,X0),X1)) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[status(thm)],[c_579,c_1760]) ).
tcf(c_1900,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(identity,X0),X1),identity) = double_divide(double_divide(X1,identity),X0),
inference(superposition,[status(thm)],[c_1760,c_1619]) ).
tcf(c_1905,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_618,c_1895]) ).
tcf(c_1925,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,double_divide(identity,X1))) = double_divide(X1,double_divide(identity,X0)),
inference(superposition,[status(thm)],[c_1762,c_1588]) ).
tcf(c_1937,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_1905,c_1925]) ).
tcf(c_1953,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(identity,X1)),identity) = double_divide(X1,double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_1769,c_1619]) ).
tcf(c_1955,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_1769,c_1610]) ).
tcf(c_2067,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(X0,double_divide(identity,X1)),identity))),double_divide(X2,identity)) = double_divide(X0,double_divide(X2,X1)),
inference(light_normalisation,[status(thm)],[c_102,c_1769]) ).
tcf(c_2068,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,identity)))),double_divide(X2,identity)) = double_divide(X1,double_divide(X2,X0)),
inference(light_normalisation,[status(thm)],[c_2067,c_1953]) ).
tcf(c_2069,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,X1))),double_divide(X2,identity)) = double_divide(X0,double_divide(X2,X1)),
inference(light_normalisation,[status(thm)],[c_2068,c_1769]) ).
tcf(c_2070,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(X2,identity)) = double_divide(X1,double_divide(X2,X0)),
inference(light_normalisation,[status(thm)],[c_2069,c_1955]) ).
tcf(c_2082,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(X2,identity)) = double_divide(double_divide(identity,X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_1619,c_2070]) ).
tcf(c_2245,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(identity,X0),X1),
inference(demodulation,[status(thm)],[c_1900,c_579,c_1895]) ).
tcf(c_2279,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,identity),X1),double_divide(identity,X0)) = X1,
inference(superposition,[status(thm)],[c_2245,c_1619]) ).
tcf(c_2306,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
inference(superposition,[status(thm)],[c_1588,c_2279]) ).
tcf(c_4127,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_2082,c_2306]) ).
tcf(c_4211,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_1937,c_4127]) ).
tcf(c_4212,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_4211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP498-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n014.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Wed Sep 23 14:54:41 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.42 Running UEQ theorem proving
% 0.16/5.42 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
% 0.16/5.43
% 0.16/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.43
% 0.16/5.43 % Detected problem language: tptp
% 0.16/5.44 % Proving...
% 3.25/6.20 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.25/6.20 % SZS status Started for theBenchmark.p
% 3.25/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/6.20
% 3.25/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.25/6.20
% 3.25/6.20 % ------ iProver source info
% 3.25/6.20
% 3.25/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.25/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.25/6.20 % git: non_committed_changes: false
% 3.25/6.20
% 3.25/6.20 % ------ Parsing...% successful
% 3.25/6.20
% 3.25/6.20
% 3.25/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.25/6.20
% 3.25/6.20 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.25/6.20
% 3.25/6.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.25/6.20
% 3.25/6.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.25/6.20 % ------ Proving...
% 3.25/6.20 % ------ Problem Properties
% 3.25/6.20
% 3.25/6.20 %
% 3.25/6.20 % clauses 3
% 3.25/6.20 % conjectures 1
% 3.25/6.20 % EPR 0
% 3.25/6.20 % Horn 3
% 3.25/6.20 % unary 3
% 3.25/6.20 % binary 0
% 3.25/6.20 % lits 3
% 3.25/6.20 % lits eq 3
% 3.25/6.20 % fd_pure 0
% 3.25/6.20 % fd_pseudo 0
% 3.25/6.20 % fd_cond 0
% 3.25/6.20 % fd_pseudo_cond 0
% 3.25/6.20 % AC symbols 0
% 3.25/6.20
% 3.25/6.20 % ------ Input Options Time Limit: Unbounded
% 3.25/6.20
% 3.25/6.20
% 3.25/6.20 % ------
% 3.25/6.20 % Current options:
% 3.25/6.20 % ------
% 3.25/6.20
% 3.25/6.20
% 3.25/6.20 %
% 3.25/6.20
% 3.25/6.20 % ------ Proving...
% 3.25/6.20 %
% 3.25/6.20
% 3.25/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/6.20
% 3.25/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.25/6.20
% 3.25/6.20
%------------------------------------------------------------------------------