%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP071-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:30:39 PM UTC 2026
% Result : Unsatisfiable 6.96s 1.77s
% Output : CNFRefutation 6.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 54 ( 47 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 20 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn 145 !; 0 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( 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(f4,plain,
( 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,[],[f3]) ).
fof(f5,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
tcf(c_52,negated_conjecture,
( ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) )
| ( divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(X0,X1)),divide(divide(X2,divide(X3,X4)),X0)) = inverse(divide(X2,divide(X1,divide(X4,X3)))),
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(X0,divide(divide(X1,divide(divide(X2,X3),X0)),divide(X3,X2)))) = X1,
inference(superposition,[status(thm)],[c_111,c_53]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(inverse(divide(X0,divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))))) = X0,
inference(superposition,[status(thm)],[c_111,c_129]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(divide(divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)),divide(X4,divide(X3,X2)))) = inverse(inverse(X4)),
inference(superposition,[status(thm)],[c_53,c_173]) ).
tcf(c_519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(inverse(X0)),divide(divide(X1,X2),divide(inverse(divide(divide(X3,X4),divide(X1,X2))),divide(X4,X3)))) = X0,
inference(superposition,[status(thm)],[c_212,c_53]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(inverse(X0)),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))) = X0,
inference(superposition,[status(thm)],[c_519,c_519]) ).
tcf(c_1262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(X0),divide(divide(divide(X1,X2),inverse(divide(divide(X2,X1),X3))),inverse(inverse(X0)))) = X3,
inference(superposition,[status(thm)],[c_668,c_53]) ).
tcf(c_1575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(divide(divide(X1,X2),inverse(divide(divide(X2,X1),X3))),inverse(X0))) = X3,
inference(superposition,[status(thm)],[c_129,c_1262]) ).
tcf(c_1682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(inverse(X0),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2))))) = X0,
inference(superposition,[status(thm)],[c_1575,c_129]) ).
tcf(c_1986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)),divide(X4,divide(X3,X2))) = inverse(X4),
inference(superposition,[status(thm)],[c_53,c_1682]) ).
tcf(c_2986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(divide(X0,divide(divide(X1,X2),X3)),divide(X2,X1))) = inverse(divide(X0,inverse(X3))),
inference(superposition,[status(thm)],[c_1986,c_129]) ).
tcf(c_3416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0))) = inverse(divide(inverse(divide(X4,X1)),inverse(X4))),
inference(superposition,[status(thm)],[c_111,c_2986]) ).
tcf(c_3467,plain,
! [X0: $i,X1: $i] : inverse(divide(inverse(divide(X0,X1)),inverse(X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_3416,c_53]) ).
tcf(c_3690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(inverse(X0),inverse(inverse(divide(X1,divide(X0,divide(X2,X3))))))) = inverse(divide(divide(X3,X2),X1)),
inference(superposition,[status(thm)],[c_53,c_3467]) ).
tcf(c_3709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(inverse(X0)),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))) = divide(inverse(divide(X4,X0)),inverse(X4)),
inference(superposition,[status(thm)],[c_3467,c_668]) ).
tcf(c_3715,plain,
! [X0: $i,X1: $i] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(light_normalisation,[status(thm)],[c_3709,c_668]) ).
tcf(c_3739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(X0,divide(divide(X1,X2),X3)),divide(X2,X1)) = divide(X0,inverse(X3)),
inference(superposition,[status(thm)],[c_129,c_3715]) ).
tcf(c_3743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(X0),inverse(inverse(divide(X1,divide(X0,divide(X2,X3)))))) = divide(divide(X3,X2),X1),
inference(superposition,[status(thm)],[c_53,c_3715]) ).
tcf(c_3750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(divide(X0,X1),inverse(divide(divide(X1,X0),X2))),inverse(X3)) = divide(inverse(X2),inverse(X3)),
inference(superposition,[status(thm)],[c_1575,c_3715]) ).
tcf(c_3773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(X0,divide(X1,divide(inverse(X2),inverse(divide(X2,X3)))))),divide(X3,X0)) = X1,
inference(superposition,[status(thm)],[c_3715,c_53]) ).
tcf(c_3774,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),inverse(inverse(divide(X1,X0)))) = inverse(X1),
inference(superposition,[status(thm)],[c_3715,c_3715]) ).
tcf(c_3796,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
inference(demodulation,[status(thm)],[c_129,c_3739]) ).
tcf(c_3800,plain,
! [X0: $i,X1: $i] : divide(X0,divide(inverse(X1),inverse(X0))) = X1,
inference(demodulation,[status(thm)],[c_1575,c_3750]) ).
tcf(c_4027,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,X1)),divide(divide(inverse(X2),inverse(X1)),X0)) = X2,
inference(superposition,[status(thm)],[c_3800,c_53]) ).
tcf(c_4627,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,X1)),divide(X2,X0)) = divide(X1,X2),
inference(superposition,[status(thm)],[c_3715,c_4027]) ).
tcf(c_4652,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(X0),inverse(inverse(divide(X1,X2)))) = divide(divide(inverse(X0),inverse(X2)),X1),
inference(superposition,[status(thm)],[c_4027,c_3715]) ).
tcf(c_4843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(X0),inverse(divide(X0,divide(X1,X2)))),X3) = divide(divide(X2,X1),X3),
inference(demodulation,[status(thm)],[c_3743,c_4652]) ).
tcf(c_5085,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(inverse(X1),inverse(divide(X1,X2)))),X2) = X0,
inference(demodulation,[status(thm)],[c_3773,c_4627]) ).
tcf(c_5175,plain,
! [X0: $i,X1: $i] : divide(divide(inverse(X0),inverse(X0)),X1) = inverse(X1),
inference(demodulation,[status(thm)],[c_3774,c_4652]) ).
tcf(c_5176,plain,
( ( inverse(inverse(a2)) != a2 )
| ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) ) ),
inference(demodulation,[status(thm)],[c_52,c_5175]) ).
tcf(c_5182,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_3796,c_5175]) ).
tcf(c_5233,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),inverse(divide(X0,X1))) = inverse(X1),
inference(superposition,[status(thm)],[c_5182,c_5085]) ).
tcf(c_5237,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,X1)),X2) = divide(divide(X1,X0),X2),
inference(demodulation,[status(thm)],[c_4843,c_5233]) ).
tcf(c_5239,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_3715,c_5237]) ).
tcf(c_5402,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_5239,c_3796]) ).
tcf(c_5403,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_5239,c_5182]) ).
tcf(c_5410,plain,
( ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) ) ),
inference(ground_joinability,[status(thm)],[c_5176,c_5403]) ).
tcf(c_5411,plain,
( ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)) ) ),
inference(demodulation,[status(thm)],[c_5410,c_5402]) ).
tcf(c_5416,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,inverse(X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_5403,c_3800]) ).
tcf(c_5421,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,X1)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_5182,c_5402]) ).
tcf(c_5427,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_5421,c_5403]) ).
tcf(c_5438,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X0)) = divide(X1,X1),
inference(superposition,[status(thm)],[c_5427,c_5182]) ).
tcf(c_5441,plain,
! [X0: $i,X1: $i] : divide(X0,X0) = divide(X1,X1),
inference(demodulation,[status(thm)],[c_5438,c_5402]) ).
tcf(c_5442,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)),
inference(backward_subsumption_resolution,[status(thm)],[c_5411,c_5441]) ).
tcf(c_5695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(X0,divide(X1,divide(X2,X3))),inverse(X1)) = divide(X0,divide(X3,X2)),
inference(demodulation,[status(thm)],[c_3690,c_5403,c_5402]) ).
tcf(c_5703,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,inverse(X1)),inverse(X2)) = divide(X0,divide(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_5416,c_5695]) ).
tcf(c_5734,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_5442,c_5703]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP071-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n010.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 13:27:45 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
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 6.96/1.77 % SZS status Started for theBenchmark.p
% 6.96/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 6.96/1.77
% 6.96/1.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.96/1.77
% 6.96/1.77 % ------ iProver source info
% 6.96/1.77
% 6.96/1.77 % git: date: 2026-07-19 20:42:38 +0200
% 6.96/1.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.96/1.77 % git: non_committed_changes: false
% 6.96/1.77
% 6.96/1.77 % ------ Parsing...% successful
% 6.96/1.77
% 6.96/1.77
% 6.96/1.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.96/1.77
% 6.96/1.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 6.96/1.77
% 6.96/1.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.96/1.77
% 6.96/1.77 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.96/1.77 % ------ Proving...
% 6.96/1.77 % ------ Problem Properties
% 6.96/1.77
% 6.96/1.77 %
% 6.96/1.77 % clauses 2
% 6.96/1.77 % conjectures 1
% 6.96/1.77 % EPR 0
% 6.96/1.77 % Horn 2
% 6.96/1.77 % unary 1
% 6.96/1.77 % binary 0
% 6.96/1.77 % lits 4
% 6.96/1.77 % lits eq 4
% 6.96/1.77 % fd_pure 0
% 6.96/1.77 % fd_pseudo 0
% 6.96/1.77 % fd_cond 0
% 6.96/1.77 % fd_pseudo_cond 0
% 6.96/1.77 % AC symbols 0
% 6.96/1.77
% 6.96/1.77 % ------ Schedule dynamic 5 is on
% 6.96/1.77
% 6.96/1.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.96/1.77
% 6.96/1.77
% 6.96/1.77 % ------
% 6.96/1.77 % Current options:
% 6.96/1.77 % ------
% 6.96/1.77
% 6.96/1.77
% 6.96/1.77 %
% 6.96/1.77
% 6.96/1.77 % ------ Proving...
% 6.96/1.77 %
% 6.96/1.77
% 6.96/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 6.96/1.77
% 6.96/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.96/1.78
% 6.96/1.78
%------------------------------------------------------------------------------