%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP606-1 : 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 : n002.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 01:34:50 PM UTC 2026
% Result : Unsatisfiable 2.48s 1.07s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 103 !; 0 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),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(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
inference(definition_unfolding,[],[f4,f2,f2]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2,
inference(cnf_transformation,[],[f5]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1)))),X2) = X3,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))) = double_divide(inverse(double_divide(X2,inverse(X1))),X3),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_103,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(superposition,[status(thm)],[c_95,c_52]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(X3))),X2)),X1) = X3,
inference(superposition,[status(thm)],[c_52,c_103]) ).
tcf(c_124,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_103,c_103]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),double_divide(X1,double_divide(X1,inverse(X2))))),X0) = X2,
inference(superposition,[status(thm)],[c_52,c_124]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X2,inverse(X3)))) = double_divide(inverse(double_divide(X0,inverse(X3))),X1),
inference(superposition,[status(thm)],[c_146,c_52]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),inverse(X3)) = double_divide(X0,inverse(double_divide(inverse(double_divide(X1,inverse(X3))),X2))),
inference(superposition,[status(thm)],[c_193,c_95]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_93,c_52,c_275]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(inverse(X2),inverse(X1)),
inference(superposition,[status(thm)],[c_52,c_347]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(double_divide(inverse(X1),X2)))),inverse(double_divide(inverse(X2),X0))) = X1,
inference(superposition,[status(thm)],[c_347,c_52]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),X2)))),X3) = double_divide(inverse(double_divide(X0,X3)),double_divide(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_347,c_193]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X0) = X1,
inference(demodulation,[status(thm)],[c_52,c_348]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_366,c_103]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X2) = double_divide(inverse(X1),double_divide(inverse(X2),X0)),
inference(superposition,[status(thm)],[c_348,c_366]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),X1)),double_divide(inverse(inverse(double_divide(inverse(X1),X2))),X2)) = X0,
inference(demodulation,[status(thm)],[c_356,c_498]) ).
tcf(c_734,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_537,c_461]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_461,c_347]) ).
tcf(c_860,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_744,c_103]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
inference(superposition,[status(thm)],[c_744,c_734]) ).
tcf(c_872,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(light_normalisation,[status(thm)],[c_860,c_744]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_872,c_498]) ).
tcf(c_1005,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(inverse(X0),double_divide(inverse(X1),X2))) = double_divide(inverse(X1),double_divide(inverse(X2),inverse(X0))),
inference(superposition,[status(thm)],[c_348,c_1004]) ).
tcf(c_1008,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
inference(superposition,[status(thm)],[c_347,c_1004]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
inference(demodulation,[status(thm)],[c_744,c_1008]) ).
tcf(c_1093,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_1004,c_1008]) ).
tcf(c_1098,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(double_divide(inverse(X0),X1),X2)) = double_divide(inverse(X2),double_divide(inverse(X1),X0)),
inference(superposition,[status(thm)],[c_1008,c_1008]) ).
tcf(c_1103,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X1),X1) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1093,c_1008]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i] : inverse(double_divide(double_divide(inverse(X0),X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_1004,c_1098]) ).
tcf(c_1123,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_870,c_1103]) ).
tcf(c_1126,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_1103,c_1027]) ).
tcf(c_1132,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_1126,c_1103]) ).
tcf(c_1287,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_116,c_359,c_1005,c_1008,c_1098,c_1105]) ).
tcf(c_1293,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1287,c_1132]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
inference(superposition,[status(thm)],[c_1293,c_1008]) ).
tcf(c_1312,plain,
inverse(double_divide(a2,double_divide(inverse(b2),b2))) != a2,
inference(demodulation,[status(thm)],[c_53,c_1311]) ).
tcf(c_1314,plain,
inverse(double_divide(a2,double_divide(b2,inverse(b2)))) != a2,
inference(demodulation,[status(thm)],[c_1312,c_1293]) ).
tcf(c_1319,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X0)),X1) = inverse(X1),
inference(demodulation,[status(thm)],[c_1123,c_1293]) ).
tcf(c_1329,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,inverse(X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_1319,c_1293]) ).
tcf(c_1335,plain,
inverse(inverse(a2)) != a2,
inference(demodulation,[status(thm)],[c_1314,c_1329]) ).
tcf(c_1336,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1335,c_1126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP606-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 15:14:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running UEQ theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.48/1.07 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.48/1.07 % SZS status Started for theBenchmark.p
% 2.48/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.48/1.07
% 2.48/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.48/1.07
% 2.48/1.07 % ------ iProver source info
% 2.48/1.07
% 2.48/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 2.48/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.48/1.07 % git: non_committed_changes: false
% 2.48/1.07
% 2.48/1.07 % ------ Parsing...% successful
% 2.48/1.07
% 2.48/1.07
% 2.48/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.48/1.07
% 2.48/1.07 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.48/1.07
% 2.48/1.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.48/1.07
% 2.48/1.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.48/1.07 % ------ Proving...
% 2.48/1.07 % ------ Problem Properties
% 2.48/1.07
% 2.48/1.07 %
% 2.48/1.07 % clauses 2
% 2.48/1.07 % conjectures 1
% 2.48/1.07 % EPR 0
% 2.48/1.07 % Horn 2
% 2.48/1.07 % unary 2
% 2.48/1.07 % binary 0
% 2.48/1.07 % lits 2
% 2.48/1.07 % lits eq 2
% 2.48/1.07 % fd_pure 0
% 2.48/1.07 % fd_pseudo 0
% 2.48/1.07 % fd_cond 0
% 2.48/1.07 % fd_pseudo_cond 0
% 2.48/1.07 % AC symbols 0
% 2.48/1.07
% 2.48/1.07 % ------ Input Options Time Limit: Unbounded
% 2.48/1.07
% 2.48/1.07
% 2.48/1.07 % ------
% 2.48/1.07 % Current options:
% 2.48/1.07 % ------
% 2.48/1.07
% 2.48/1.07
% 2.48/1.07 %
% 2.48/1.07
% 2.48/1.07 % ------ Proving...
% 2.48/1.07 %
% 2.48/1.07
% 2.48/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.48/1.07
% 2.48/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.48/1.07
% 2.48/1.07
%------------------------------------------------------------------------------