%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP502-1 : 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 : n016.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 01:34:26 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.09s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 3 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 : 93 ( 0 sgn 93 !; 0 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/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,X3: $i] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
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_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))) = double_divide(inverse(X3),inverse(double_divide(X5,double_divide(X2,X5)))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))) = double_divide(inverse(X0),inverse(double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[status(thm)],[c_94,c_94]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))),double_divide(inverse(X3),inverse(double_divide(X4,double_divide(inverse(X0),X4))))) = double_divide(X2,X3),
inference(superposition,[status(thm)],[c_116,c_52]) ).
tcf(c_307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(X0,double_divide(X1,inverse(double_divide(X2,double_divide(X3,double_divide(X0,X3)))))) = double_divide(inverse(X2),inverse(double_divide(X4,double_divide(X1,X4)))),
inference(superposition,[status(thm)],[c_215,c_94]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)),inverse(double_divide(X3,double_divide(inverse(X1),X3)))) = X2,
inference(superposition,[status(thm)],[c_307,c_52]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X0,X2))),X1),X3))),X2) = X3,
inference(superposition,[status(thm)],[c_357,c_52]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),inverse(double_divide(X1,double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2)),X1)))) = X0,
inference(superposition,[status(thm)],[c_557,c_357]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0)),inverse(double_divide(X2,X3))),X2) = X3,
inference(superposition,[status(thm)],[c_557,c_557]) ).
tcf(c_787,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X1,double_divide(inverse(X2),X1))),inverse(X2)))) = X0,
inference(superposition,[status(thm)],[c_357,c_656]) ).
tcf(c_821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1),X3))),X0) = X3,
inference(superposition,[status(thm)],[c_656,c_357]) ).
tcf(c_894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0),inverse(double_divide(X2,double_divide(inverse(X3),X2)))) = inverse(X3),
inference(superposition,[status(thm)],[c_787,c_658]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1)),X3))),X0) = X3,
inference(superposition,[status(thm)],[c_821,c_821]) ).
tcf(c_1033,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(inverse(X1))),X0) = inverse(double_divide(X2,double_divide(inverse(X1),X2))),
inference(superposition,[status(thm)],[c_357,c_977]) ).
tcf(c_1142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(double_divide(X0,inverse(inverse(double_divide(X1,double_divide(inverse(X2),X1))))),double_divide(inverse(double_divide(X3,inverse(inverse(X2)))),inverse(double_divide(X4,double_divide(X0,X4))))) = X3,
inference(superposition,[status(thm)],[c_1033,c_52]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : double_divide(double_divide(X0,inverse(inverse(double_divide(X1,double_divide(inverse(X2),X1))))),double_divide(inverse(double_divide(X3,inverse(inverse(X2)))),inverse(double_divide(X4,double_divide(X0,X4))))) = double_divide(inverse(double_divide(double_divide(X5,inverse(double_divide(X6,inverse(X6)))),X5)),inverse(double_divide(X7,double_divide(X3,X7)))),
inference(superposition,[status(thm)],[c_894,c_94]) ).
tcf(c_2448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0)),inverse(double_divide(X2,double_divide(X3,X2)))) = X3,
inference(light_normalisation,[status(thm)],[c_2428,c_1142]) ).
tcf(c_2591,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2))) = X0,
inference(superposition,[status(thm)],[c_2448,c_656]) ).
tcf(c_2594,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(X1)),X0) = inverse(double_divide(X2,double_divide(X1,X2))),
inference(superposition,[status(thm)],[c_2448,c_977]) ).
tcf(c_3641,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X1,inverse(X2)),X1),X2))) = X0,
inference(superposition,[status(thm)],[c_2594,c_2591]) ).
tcf(c_3825,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_3641,c_821]) ).
tcf(c_4005,plain,
! [X0: $i] : inverse(double_divide(X0,inverse(X0))) != inverse(double_divide(a1,inverse(a1))),
inference(superposition,[status(thm)],[c_3825,c_53]) ).
tcf(c_4117,plain,
$false,
inference(equality_resolution,[status(thm)],[c_4005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP502-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 15:00:26 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 1.29/1.09 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.29/1.09 % SZS status Started for theBenchmark.p
% 1.29/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.09
% 1.29/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.29/1.09
% 1.29/1.09 % ------ iProver source info
% 1.29/1.09
% 1.29/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 1.29/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.29/1.09 % git: non_committed_changes: false
% 1.29/1.09
% 1.29/1.09 % ------ Parsing...% successful
% 1.29/1.09
% 1.29/1.09
% 1.29/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.29/1.09
% 1.29/1.09 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.29/1.09
% 1.29/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.29/1.09
% 1.29/1.09 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.29/1.09 % ------ Proving...
% 1.29/1.09 % ------ Problem Properties
% 1.29/1.09
% 1.29/1.09 %
% 1.29/1.09 % clauses 2
% 1.29/1.09 % conjectures 1
% 1.29/1.09 % EPR 0
% 1.29/1.09 % Horn 2
% 1.29/1.09 % unary 2
% 1.29/1.09 % binary 0
% 1.29/1.09 % lits 2
% 1.29/1.09 % lits eq 2
% 1.29/1.09 % fd_pure 0
% 1.29/1.09 % fd_pseudo 0
% 1.29/1.09 % fd_cond 0
% 1.29/1.09 % fd_pseudo_cond 0
% 1.29/1.09 % AC symbols 0
% 1.29/1.09
% 1.29/1.09 % ------ Input Options Time Limit: Unbounded
% 1.29/1.09
% 1.29/1.09
% 1.29/1.09 % ------
% 1.29/1.09 % Current options:
% 1.29/1.09 % ------
% 1.29/1.09
% 1.29/1.09
% 1.29/1.09 %
% 1.29/1.09
% 1.29/1.09 % ------ Proving...
% 1.29/1.09 %
% 1.29/1.09
% 1.29/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.09
% 1.29/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.29/1.09
% 1.29/1.09
%------------------------------------------------------------------------------