%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP068-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 01:30:39 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.28s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 35 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 19 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| a2 != divide(identity,divide(identity,a2))
| identity != divide(divide(identity,a1),divide(identity,a1)) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2]) ).
tcf(c_54,negated_conjecture,
( ( divide(identity,divide(identity,a2)) != a2 )
| ( divide(divide(identity,a1),divide(identity,a1)) != identity )
| ( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_55,plain,
! [X0: $i] : divide(X0,X0) = identity,
inference(cnf_transformation,[],[f4]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,plain,
( ( divide(identity,divide(identity,a2)) != a2 )
| ( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_55]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_56,c_55]) ).
tcf(c_104,plain,
! [X0: $i] : divide(X0,identity) = X0,
inference(superposition,[status(thm)],[c_55,c_68]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] : divide(X0,divide(identity,divide(divide(identity,X0),divide(identity,X1)))) = X1,
inference(superposition,[status(thm)],[c_55,c_68]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] : divide(X0,divide(divide(divide(identity,X1),divide(identity,X0)),identity)) = X1,
inference(superposition,[status(thm)],[c_55,c_68]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] : divide(identity,divide(divide(divide(identity,X0),X1),divide(identity,X1))) = X0,
inference(superposition,[status(thm)],[c_55,c_68]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(X1,divide(divide(identity,X0),divide(divide(divide(identity,X1),X2),divide(divide(identity,divide(identity,X3)),X2))))) = X3,
inference(superposition,[status(thm)],[c_68,c_68]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(divide(identity,X0),X1),divide(divide(identity,identity),X1)),divide(identity,divide(X0,divide(identity,X2)))) = X2,
inference(superposition,[status(thm)],[c_68,c_105]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i] : divide(X0,divide(divide(identity,X1),divide(identity,X0))) = X1,
inference(demodulation,[status(thm)],[c_109,c_104]) ).
tcf(c_222,plain,
! [X0: $i] : divide(identity,divide(divide(identity,X0),identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_216]) ).
tcf(c_285,plain,
! [X0: $i] : divide(identity,divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_222,c_104]) ).
tcf(c_288,plain,
( ( a2 != a2 )
| ( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ) ),
inference(demodulation,[status(thm)],[c_61,c_285]) ).
tcf(c_289,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(equality_resolution_simp,[status(thm)],[c_288]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,divide(identity,X0))) = divide(identity,X1),
inference(superposition,[status(thm)],[c_285,c_216]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] : divide(divide(divide(identity,X0),X1),divide(identity,X1)) = divide(identity,X0),
inference(superposition,[status(thm)],[c_111,c_285]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),divide(X1,X0)) = divide(identity,X1),
inference(superposition,[status(thm)],[c_285,c_291]) ).
tcf(c_338,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),divide(identity,divide(X0,divide(identity,X1)))) = X1,
inference(demodulation,[status(thm)],[c_155,c_104,c_309]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] : divide(divide(X0,divide(identity,X1)),X1) = divide(identity,divide(identity,X0)),
inference(superposition,[status(thm)],[c_338,c_291]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(light_normalisation,[status(thm)],[c_355,c_285]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(superposition,[status(thm)],[c_285,c_359]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i] : divide(identity,divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_371,c_291]) ).
tcf(c_391,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(demodulation,[status(thm)],[c_289,c_388]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(X1,X2)),divide(X2,X1)) = X0,
inference(superposition,[status(thm)],[c_388,c_371]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i] : divide(divide(identity,divide(identity,X0)),X1) = divide(identity,divide(X1,X0)),
inference(superposition,[status(thm)],[c_371,c_325]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(X1,divide(divide(identity,X0),divide(divide(divide(identity,X1),X2),divide(X3,X2))))) = X3,
inference(demodulation,[status(thm)],[c_114,c_388,c_419]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),divide(divide(identity,X2),X1)),divide(X2,identity)) = X0,
inference(superposition,[status(thm)],[c_398,c_532]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),divide(divide(identity,X2),X1)),X2) = X0,
inference(demodulation,[status(thm)],[c_538,c_104]) ).
tcf(c_1030,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,divide(X1,X2)),divide(identity,X1)),X2) = X0,
inference(superposition,[status(thm)],[c_325,c_1013]) ).
tcf(c_1092,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(identity,X1)),X2) = divide(X0,divide(identity,divide(X1,X2))),
inference(superposition,[status(thm)],[c_359,c_1030]) ).
tcf(c_1130,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,c3),b3)),
inference(demodulation,[status(thm)],[c_391,c_1092]) ).
tcf(c_1132,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1130,c_388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP068-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 13:27:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_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
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.73/1.28 % SZS status Started for theBenchmark.p
% 3.73/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.73/1.28
% 3.73/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.73/1.28
% 3.73/1.28 % ------ iProver source info
% 3.73/1.28
% 3.73/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.73/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.73/1.28 % git: non_committed_changes: false
% 3.73/1.28
% 3.73/1.28 % ------ Parsing...% successful
% 3.73/1.28
% 3.73/1.28
% 3.73/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.73/1.28
% 3.73/1.28 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.73/1.28
% 3.73/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.73/1.28
% 3.73/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.73/1.28 % ------ Proving...
% 3.73/1.28 % ------ Problem Properties
% 3.73/1.28
% 3.73/1.28 %
% 3.73/1.28 % clauses 3
% 3.73/1.28 % conjectures 0
% 3.73/1.28 % EPR 0
% 3.73/1.28 % Horn 3
% 3.73/1.28 % unary 2
% 3.73/1.28 % binary 1
% 3.73/1.28 % lits 4
% 3.73/1.28 % lits eq 4
% 3.73/1.28 % fd_pure 0
% 3.73/1.29 % fd_pseudo 0
% 3.73/1.29 % fd_cond 0
% 3.73/1.29 % fd_pseudo_cond 0
% 3.73/1.29 % AC symbols 0
% 3.73/1.29
% 3.73/1.29 % ------ Schedule dynamic 5 is on
% 3.73/1.29
% 3.73/1.29 % ------ no conjectures: strip conj schedule
% 3.73/1.29
% 3.73/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.73/1.29
% 3.73/1.29
% 3.73/1.29 % ------
% 3.73/1.29 % Current options:
% 3.73/1.29 % ------
% 3.73/1.29
% 3.73/1.29
% 3.73/1.29 %
% 3.73/1.29
% 3.73/1.29 % ------ Proving...
% 3.73/1.29 %
% 3.73/1.29
% 3.73/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.73/1.29
% 3.73/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.73/1.29
% 3.73/1.29
%------------------------------------------------------------------------------