%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP095-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 01:30:43 PM UTC 2026
% Result : Unsatisfiable 3.93s 1.30s
% Output : CNFRefutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 53 ( 45 unt; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 34 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : divide(identity,X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f7,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(definition_unfolding,[],[f7,f2,f4,f2,f4,f2,f2,f4,f2,f2,f2,f2,f2,f2]) ).
tcf(c_54,negated_conjecture,
( ( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) )
| ( divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) )
| ( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))) )
| ( divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)) != a2 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_55,plain,
! [X0: $i] : divide(X0,X0) = identity,
inference(cnf_transformation,[],[f5]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_71,plain,
( ( identity != identity )
| ( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) )
| ( 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(demodulation,[status(thm)],[c_54,c_55]) ).
tcf(c_72,plain,
( ( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) )
| ( 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(equality_resolution_simp,[status(thm)],[c_71]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),divide(identity,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),divide(divide(X2,X3),divide(identity,X1))) = X3,
inference(superposition,[status(thm)],[c_56,c_56]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,X1),divide(X2,identity)),
inference(superposition,[status(thm)],[c_56,c_56]) ).
tcf(c_127,plain,
! [X0: $i] : divide(identity,divide(identity,X0)) = divide(X0,identity),
inference(superposition,[status(thm)],[c_55,c_113]) ).
tcf(c_129,plain,
! [X0: $i] : divide(divide(identity,X0),identity) = divide(identity,X0),
inference(superposition,[status(thm)],[c_55,c_113]) ).
tcf(c_132,plain,
( ( divide(a2,identity) != a2 )
| ( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) )
| ( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ) ),
inference(demodulation,[status(thm)],[c_72,c_127]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),divide(X1,identity)) = divide(divide(identity,X1),X0),
inference(superposition,[status(thm)],[c_127,c_113]) ).
tcf(c_171,plain,
! [X0: $i] : divide(identity,divide(divide(identity,X0),identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_115]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_113,c_115]) ).
tcf(c_180,plain,
! [X0: $i] : divide(X0,identity) = X0,
inference(light_normalisation,[status(thm)],[c_171,c_127,c_129]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] : divide(divide(X0,identity),divide(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_174,c_127]) ).
tcf(c_182,plain,
( ( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) )
| ( 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_132,c_180]) ).
tcf(c_183,plain,
! [X0: $i] : divide(identity,divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_127,c_180]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,X0)),
inference(superposition,[status(thm)],[c_183,c_113]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),X1) = divide(divide(identity,X1),X0),
inference(superposition,[status(thm)],[c_183,c_113]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_181,c_180]) ).
tcf(c_233,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(ground_joinability,[status(thm)],[c_182,c_207]) ).
tcf(c_234,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(c3,divide(identity,divide(a3,divide(identity,b3)))),
inference(demodulation,[status(thm)],[c_233,c_207]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,divide(identity,X0))) = divide(identity,X1),
inference(superposition,[status(thm)],[c_207,c_226]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(divide(identity,X0),divide(X1,identity))),divide(divide(X1,X2),divide(identity,X0))) = X2,
inference(light_normalisation,[status(thm)],[c_116,c_117]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(divide(identity,X0),X1)),divide(divide(X0,X2),divide(identity,X1))) = X2,
inference(light_normalisation,[status(thm)],[c_348,c_163]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(divide(identity,X0),divide(identity,X1))),divide(divide(X0,X2),X1)) = X2,
inference(superposition,[status(thm)],[c_226,c_349]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
inference(light_normalisation,[status(thm)],[c_387,c_113]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,X2),X1),
inference(demodulation,[status(thm)],[c_117,c_163]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X0) = divide(divide(identity,identity),X1),
inference(superposition,[status(thm)],[c_180,c_469]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X0) = divide(identity,X1),
inference(demodulation,[status(thm)],[c_475,c_180]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i] : divide(identity,divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_226,c_587]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i] : divide(identity,divide(X0,divide(identity,X1))) = divide(divide(identity,X0),X1),
inference(superposition,[status(thm)],[c_264,c_587]) ).
tcf(c_610,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(c3,divide(divide(identity,b3),a3)),
inference(demodulation,[status(thm)],[c_234,c_598]) ).
tcf(c_623,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(c3,divide(divide(identity,a3),b3)),
inference(demodulation,[status(thm)],[c_610,c_209,c_599]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(light_normalisation,[status(thm)],[c_393,c_598]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X2),divide(X1,X0))) = X2,
inference(superposition,[status(thm)],[c_226,c_672]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
inference(superposition,[status(thm)],[c_672,c_226]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,divide(X2,X0))) = divide(X2,X1),
inference(superposition,[status(thm)],[c_226,c_680]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(superposition,[status(thm)],[c_779,c_226]) ).
tcf(c_1129,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(b3,divide(divide(identity,a3),c3)),
inference(demodulation,[status(thm)],[c_623,c_1120]) ).
tcf(c_1314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(divide(X1,X2),X3)) = divide(X2,divide(divide(X1,X3),X0)),
inference(superposition,[status(thm)],[c_713,c_1120]) ).
tcf(c_1362,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(demodulation,[status(thm)],[c_1129,c_1314]) ).
tcf(c_1363,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1362,c_713]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP095-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 13:31:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 3.93/1.30 % SZS status Started for theBenchmark.p
% 3.93/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.93/1.30
% 3.93/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.93/1.30
% 3.93/1.30 % ------ iProver source info
% 3.93/1.30
% 3.93/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.93/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.93/1.30 % git: non_committed_changes: false
% 3.93/1.30
% 3.93/1.30 % ------ Parsing...% successful
% 3.93/1.30
% 3.93/1.30
% 3.93/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.93/1.30
% 3.93/1.30 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.93/1.30
% 3.93/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.93/1.30
% 3.93/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.93/1.30 % ------ Proving...
% 3.93/1.30 % ------ Problem Properties
% 3.93/1.30
% 3.93/1.30 %
% 3.93/1.30 % clauses 3
% 3.93/1.30 % conjectures 0
% 3.93/1.30 % EPR 0
% 3.93/1.30 % Horn 3
% 3.93/1.30 % unary 2
% 3.93/1.30 % binary 0
% 3.93/1.30 % lits 5
% 3.93/1.30 % lits eq 5
% 3.93/1.30 % fd_pure 0
% 3.93/1.30 % fd_pseudo 0
% 3.93/1.30 % fd_cond 0
% 3.93/1.30 % fd_pseudo_cond 0
% 3.93/1.30 % AC symbols 0
% 3.93/1.30
% 3.93/1.30 % ------ Schedule dynamic 5 is on
% 3.93/1.30
% 3.93/1.30 % ------ no conjectures: strip conj schedule
% 3.93/1.30
% 3.93/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.93/1.30
% 3.93/1.30
% 3.93/1.30 % ------
% 3.93/1.30 % Current options:
% 3.93/1.30 % ------
% 3.93/1.30
% 3.93/1.30
% 3.93/1.30 %
% 3.93/1.30
% 3.93/1.30 % ------ Proving...
% 3.93/1.30 %
% 3.93/1.30
% 3.93/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.93/1.30
% 3.93/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.93/1.30
% 3.93/1.30
%------------------------------------------------------------------------------