%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP069-1 : 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 : n014.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 4.33s 6.32s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 33 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 18 ~; 10 |; 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(identity,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,plain,
! [X0] : divide(identity,X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f6,plain,
! [X0] : divide(X0,X0) = identity,
inference(reorient_equations,[],[f5]) ).
fof(f7,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(f8,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,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,[],[f8,f2,f4,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,[],[f9]) ).
tcf(c_55,plain,
! [X0: $i] : divide(X0,X0) = identity,
inference(cnf_transformation,[],[f6]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(identity,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_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_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(divide(divide(identity,X0),X1),divide(divide(identity,identity),X1)),divide(divide(divide(identity,X2),X3),divide(X0,X3))) = X2,
inference(superposition,[status(thm)],[c_68,c_68]) ).
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_292,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_301,plain,
! [X0: $i,X1: $i] : divide(identity,divide(divide(X0,X1),divide(identity,X1))) = divide(identity,X0),
inference(superposition,[status(thm)],[c_285,c_111]) ).
tcf(c_308,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_348,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,X0),divide(divide(divide(identity,X1),X2),divide(X0,X2))) = X1,
inference(demodulation,[status(thm)],[c_112,c_104,c_308]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,X0),divide(divide(X1,X2),divide(X0,X2))) = divide(identity,X1),
inference(superposition,[status(thm)],[c_285,c_348]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),divide(identity,X1)) = divide(identity,divide(identity,X0)),
inference(superposition,[status(thm)],[c_301,c_285]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_498,c_285]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(superposition,[status(thm)],[c_285,c_509]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i] : divide(identity,divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_509,c_292]) ).
tcf(c_566,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(demodulation,[status(thm)],[c_289,c_556]) ).
tcf(c_1210,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(X0,X1)),divide(divide(X2,divide(identity,X1)),X0)) = divide(identity,X2),
inference(superposition,[status(thm)],[c_509,c_361]) ).
tcf(c_1232,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(divide(X2,divide(identity,X0)),X1)) = divide(identity,X2),
inference(light_normalisation,[status(thm)],[c_1210,c_556]) ).
tcf(c_1553,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(X2,X1)) = divide(identity,divide(X2,X0)),
inference(superposition,[status(thm)],[c_509,c_1232]) ).
tcf(c_1667,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
inference(demodulation,[status(thm)],[c_1553,c_556]) ).
tcf(c_1674,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(identity,X1)),X2) = divide(X0,divide(X2,X1)),
inference(superposition,[status(thm)],[c_553,c_1667]) ).
tcf(c_1706,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_566,c_1674]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP069-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.39 % Computer : n014.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Wed Sep 23 13:27:09 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.43 Running first-order theorem proving
% 0.14/5.43 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
% 0.14/5.44
% 0.14/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.44
% 0.14/5.44 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 4.33/6.32 % SZS status Started for theBenchmark.p
% 4.33/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.33/6.32
% 4.33/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.33/6.32
% 4.33/6.32 % ------ iProver source info
% 4.33/6.32
% 4.33/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.33/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.33/6.32 % git: non_committed_changes: false
% 4.33/6.32
% 4.33/6.32 % ------ Parsing...% successful
% 4.33/6.32
% 4.33/6.32
% 4.33/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.33/6.32
% 4.33/6.32 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.33/6.32
% 4.33/6.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.33/6.32
% 4.33/6.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.33/6.32 % ------ Proving...
% 4.33/6.32 % ------ Problem Properties
% 4.33/6.32
% 4.33/6.32 %
% 4.33/6.32 % clauses 3
% 4.33/6.32 % conjectures 0
% 4.33/6.32 % EPR 0
% 4.33/6.32 % Horn 3
% 4.33/6.32 % unary 2
% 4.33/6.32 % binary 1
% 4.33/6.32 % lits 4
% 4.33/6.32 % lits eq 4
% 4.33/6.32 % fd_pure 0
% 4.33/6.32 % fd_pseudo 0
% 4.33/6.32 % fd_cond 0
% 4.33/6.32 % fd_pseudo_cond 0
% 4.33/6.32 % AC symbols 0
% 4.33/6.32
% 4.33/6.32 % ------ Schedule dynamic 5 is on
% 4.33/6.32
% 4.33/6.32 % ------ no conjectures: strip conj schedule
% 4.33/6.32
% 4.33/6.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.33/6.32
% 4.33/6.32
% 4.33/6.32 % ------
% 4.33/6.32 % Current options:
% 4.33/6.32 % ------
% 4.33/6.32
% 4.33/6.32
% 4.33/6.32 %
% 4.33/6.32
% 4.33/6.32 % ------ Proving...
% 4.33/6.32 %
% 4.33/6.32
% 4.33/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.33/6.32
% 4.33/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.33/6.32
% 4.33/6.32
%------------------------------------------------------------------------------