%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP066-1 : 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 : n010.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 01:30:38 PM UTC 2026
% Result : Unsatisfiable 3.52s 6.31s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 65 unt; 9 def)
% Number of atoms : 173 ( 82 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 19 ~; 11 |; 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 : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),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,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : divide(X0,X0) = identity,
inference(cnf_transformation,[],[f4]) ).
tcf(c_56,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_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_56,c_55]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(light_normalisation,[status(thm)],[c_54,c_55]) ).
tcf(c_75,definition,
iPr_def_10 = divide(identity,b3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_76,definition,
iPr_def_11 = divide(a3,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_77,definition,
iPr_def_12 = divide(identity,c3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_78,definition,
iPr_def_13 = divide(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_79,definition,
iPr_def_14 = divide(b3,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_80,definition,
iPr_def_15 = divide(identity,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_81,definition,
iPr_def_16 = divide(a3,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_82,definition,
iPr_def_17 = divide(identity,a2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_83,definition,
iPr_def_18 = divide(identity,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_84,plain,
( ( iPr_def_18 != a2 )
| ( iPr_def_13 != iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_61,c_82,c_83,c_79,c_80,c_81,c_77,c_75,c_76,c_78]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[status(thm)],[c_55,c_68]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[status(thm)],[c_55,c_68]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] : divide(divide(identity,divide(iPr_def_14,divide(X0,divide(iPr_def_15,X1)))),X1) = X0,
inference(superposition,[status(thm)],[c_80,c_68]) ).
tcf(c_200,plain,
! [X0: $i] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[status(thm)],[c_55,c_134]) ).
tcf(c_211,plain,
! [X0: $i] : divide(divide(identity,divide(iPr_def_14,divide(X0,identity))),iPr_def_15) = X0,
inference(superposition,[status(thm)],[c_80,c_134]) ).
tcf(c_250,plain,
! [X0: $i] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(demodulation,[status(thm)],[c_200,c_55]) ).
tcf(c_257,plain,
! [X0: $i] : divide(X0,divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_250,c_134]) ).
tcf(c_282,plain,
! [X0: $i] : divide(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_257,c_55]) ).
tcf(c_283,plain,
! [X0: $i] : divide(identity,divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_250,c_282]) ).
tcf(c_302,plain,
divide(identity,iPr_def_17) = a2,
inference(superposition,[status(thm)],[c_82,c_283]) ).
tcf(c_303,plain,
divide(identity,iPr_def_10) = b3,
inference(superposition,[status(thm)],[c_75,c_283]) ).
tcf(c_304,plain,
divide(identity,iPr_def_12) = c3,
inference(superposition,[status(thm)],[c_77,c_283]) ).
tcf(c_305,plain,
divide(identity,iPr_def_15) = iPr_def_14,
inference(superposition,[status(thm)],[c_80,c_283]) ).
tcf(c_310,plain,
a2 = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_302,c_83]) ).
tcf(c_312,plain,
( ( iPr_def_18 != iPr_def_18 )
| ( iPr_def_13 != iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_84,c_310]) ).
tcf(c_313,plain,
iPr_def_13 != iPr_def_16,
inference(equality_resolution_simp,[status(thm)],[c_312]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_136,c_283]) ).
tcf(c_322,plain,
! [X0: $i] : divide(divide(X0,iPr_def_10),b3) = X0,
inference(superposition,[status(thm)],[c_75,c_316]) ).
tcf(c_323,plain,
! [X0: $i] : divide(divide(X0,iPr_def_12),c3) = X0,
inference(superposition,[status(thm)],[c_77,c_316]) ).
tcf(c_324,plain,
! [X0: $i] : divide(divide(X0,iPr_def_15),iPr_def_14) = X0,
inference(superposition,[status(thm)],[c_80,c_316]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(superposition,[status(thm)],[c_283,c_316]) ).
tcf(c_356,plain,
! [X0: $i] : divide(divide(X0,b3),iPr_def_10) = X0,
inference(superposition,[status(thm)],[c_303,c_316]) ).
tcf(c_357,plain,
divide(identity,b3) = iPr_def_10,
inference(superposition,[status(thm)],[c_303,c_283]) ).
tcf(c_368,plain,
! [X0: $i] : divide(divide(X0,c3),iPr_def_12) = X0,
inference(superposition,[status(thm)],[c_304,c_316]) ).
tcf(c_369,plain,
divide(identity,c3) = iPr_def_12,
inference(superposition,[status(thm)],[c_304,c_283]) ).
tcf(c_387,plain,
! [X0: $i] : divide(divide(X0,iPr_def_14),iPr_def_15) = X0,
inference(superposition,[status(thm)],[c_305,c_316]) ).
tcf(c_388,plain,
divide(identity,iPr_def_14) = iPr_def_15,
inference(superposition,[status(thm)],[c_305,c_283]) ).
tcf(c_418,plain,
divide(iPr_def_11,b3) = a3,
inference(superposition,[status(thm)],[c_76,c_322]) ).
tcf(c_421,plain,
! [X0: $i] : divide(divide(identity,divide(iPr_def_10,divide(X0,identity))),b3) = X0,
inference(superposition,[status(thm)],[c_322,c_68]) ).
tcf(c_423,plain,
! [X0: $i] : divide(divide(identity,divide(iPr_def_10,X0)),b3) = X0,
inference(light_normalisation,[status(thm)],[c_421,c_282]) ).
tcf(c_436,plain,
divide(iPr_def_13,c3) = iPr_def_11,
inference(superposition,[status(thm)],[c_78,c_323]) ).
tcf(c_437,plain,
divide(iPr_def_14,c3) = b3,
inference(superposition,[status(thm)],[c_79,c_323]) ).
tcf(c_448,plain,
divide(iPr_def_16,iPr_def_14) = a3,
inference(superposition,[status(thm)],[c_81,c_324]) ).
tcf(c_553,plain,
divide(iPr_def_11,iPr_def_12) = iPr_def_13,
inference(superposition,[status(thm)],[c_436,c_368]) ).
tcf(c_565,plain,
divide(a3,iPr_def_15) = iPr_def_16,
inference(superposition,[status(thm)],[c_448,c_387]) ).
tcf(c_648,plain,
! [X0: $i] : divide(identity,divide(iPr_def_10,X0)) = divide(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_423,c_356]) ).
tcf(c_721,plain,
! [X0: $i] : divide(divide(identity,divide(iPr_def_14,X0)),iPr_def_15) = X0,
inference(light_normalisation,[status(thm)],[c_211,c_282]) ).
tcf(c_724,plain,
divide(divide(identity,b3),iPr_def_15) = c3,
inference(superposition,[status(thm)],[c_437,c_721]) ).
tcf(c_726,plain,
! [X0: $i] : divide(identity,divide(iPr_def_14,X0)) = divide(X0,iPr_def_14),
inference(superposition,[status(thm)],[c_721,c_324]) ).
tcf(c_727,plain,
divide(iPr_def_10,iPr_def_15) = c3,
inference(light_normalisation,[status(thm)],[c_724,c_357]) ).
tcf(c_765,plain,
divide(identity,c3) = divide(iPr_def_15,iPr_def_10),
inference(superposition,[status(thm)],[c_727,c_648]) ).
tcf(c_770,plain,
divide(iPr_def_15,iPr_def_10) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_765,c_369]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i] : divide(divide(divide(X0,divide(iPr_def_15,X1)),iPr_def_14),X1) = X0,
inference(demodulation,[status(thm)],[c_139,c_726]) ).
tcf(c_826,plain,
! [X0: $i] : divide(divide(X0,divide(iPr_def_15,iPr_def_10)),iPr_def_14) = divide(X0,b3),
inference(superposition,[status(thm)],[c_812,c_322]) ).
tcf(c_840,plain,
! [X0: $i] : divide(divide(X0,iPr_def_12),iPr_def_14) = divide(X0,b3),
inference(light_normalisation,[status(thm)],[c_826,c_770]) ).
tcf(c_1772,plain,
divide(iPr_def_11,b3) = divide(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_553,c_840]) ).
tcf(c_1781,plain,
divide(iPr_def_13,iPr_def_14) = a3,
inference(light_normalisation,[status(thm)],[c_1772,c_418]) ).
tcf(c_1786,plain,
divide(a3,divide(identity,iPr_def_14)) = iPr_def_13,
inference(superposition,[status(thm)],[c_1781,c_327]) ).
tcf(c_1788,plain,
iPr_def_13 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_1786,c_388,c_565]) ).
tcf(c_1789,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1788,c_313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP066-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.39 % Computer : n010.cluster.edu
% 0.13/5.39 % Model : x86_64 x86_64
% 0.13/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39 % Memory : 8046.5625MB
% 0.13/5.39 % OS : Linux 6.8.0-71-generic
% 0.13/5.39 % CPULimit : 300
% 0.13/5.39 % WCLimit : 300
% 0.13/5.39 % DateTime : Wed Sep 23 13:27:05 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.43 Running first-order theorem proving
% 0.17/5.43 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
% 0.17/5.45
% 0.17/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.17/5.45
% 0.17/5.45 % Detected problem language: tptp
% 0.17/5.46 % Proving...
% 3.52/6.31 % SZS status Started for theBenchmark.p
% 3.52/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/6.31
% 3.52/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.52/6.31
% 3.52/6.31 % ------ iProver source info
% 3.52/6.31
% 3.52/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.52/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.52/6.31 % git: non_committed_changes: false
% 3.52/6.31
% 3.52/6.31 % ------ Parsing...% successful
% 3.52/6.31
% 3.52/6.31
% 3.52/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.52/6.31
% 3.52/6.31 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.52/6.31
% 3.52/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.52/6.31
% 3.52/6.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.52/6.31 % ------ Proving...
% 3.52/6.31 % ------ Problem Properties
% 3.52/6.31
% 3.52/6.31 %
% 3.52/6.31 % clauses 12
% 3.52/6.31 % conjectures 0
% 3.52/6.31 % EPR 1
% 3.52/6.31 % Horn 12
% 3.52/6.31 % unary 11
% 3.52/6.31 % binary 1
% 3.52/6.31 % lits 13
% 3.52/6.31 % lits eq 13
% 3.52/6.31 % fd_pure 0
% 3.52/6.31 % fd_pseudo 0
% 3.52/6.31 % fd_cond 0
% 3.52/6.31 % fd_pseudo_cond 0
% 3.52/6.31 % AC symbols 0
% 3.52/6.31
% 3.52/6.31 % ------ Schedule dynamic 5 is on
% 3.52/6.31
% 3.52/6.31 % ------ no conjectures: strip conj schedule
% 3.52/6.31
% 3.52/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.52/6.31
% 3.52/6.31
% 3.52/6.31 % ------
% 3.52/6.31 % Current options:
% 3.52/6.31 % ------
% 3.52/6.31
% 3.52/6.31
% 3.52/6.31 %
% 3.52/6.31
% 3.52/6.31 % ------ Proving...
% 3.52/6.31 %
% 3.52/6.31
% 3.52/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/6.31
% 3.52/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.52/6.31
% 3.52/6.31
%------------------------------------------------------------------------------