%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP089-1 : 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 : n002.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 01:30:42 PM UTC 2026
% Result : Unsatisfiable 3.01s 1.09s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 47 ( 41 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 24 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 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 : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn 86 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,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(f5,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,[],[f4]) ).
tcf(c_53,negated_conjecture,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(cnf_transformation,[],[f3]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_55,c_56]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] : divide(multiply(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_74,c_56]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_74,c_56]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_140,c_74]) ).
tcf(c_159,plain,
( ( inverse(inverse(a2)) != a2 )
| ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(demodulation,[status(thm)],[c_53,c_158]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(X1,X2)),X2) = divide(X0,X1),
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] : multiply(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_229,c_74]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X0)) = divide(X1,X1),
inference(superposition,[status(thm)],[c_56,c_309]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_74,c_309]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_312,c_312]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_365,c_54]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_484,c_54]) ).
tcf(c_574,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = X1,
inference(superposition,[status(thm)],[c_484,c_309]) ).
tcf(c_576,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_141,c_574]) ).
tcf(c_577,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_159,c_576]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_576,c_74]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_74,c_560]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_560,c_309]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_140,c_672]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(superposition,[status(thm)],[c_672,c_313]) ).
tcf(c_764,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_577,c_758]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_313,c_762]) ).
tcf(c_796,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_769,c_309]) ).
tcf(c_799,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_764,c_796]) ).
tcf(c_802,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(demodulation,[status(thm)],[c_799,c_796]) ).
tcf(c_874,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_309,c_661]) ).
tcf(c_892,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_576,c_762]) ).
tcf(c_934,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(divide(X2,X1),X0),
inference(superposition,[status(thm)],[c_874,c_762]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(X0,divide(X2,X1)),
inference(superposition,[status(thm)],[c_874,c_624]) ).
tcf(c_985,plain,
! [X0: $i,X1: $i,X2: $i] : divide(multiply(divide(X0,X1),X2),X0) = divide(X2,X1),
inference(light_normalisation,[status(thm)],[c_246,c_934]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(divide(X0,X1),X2) = multiply(X0,divide(X2,X1)),
inference(superposition,[status(thm)],[c_985,c_309]) ).
tcf(c_1097,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(X2,divide(X0,X1)),
inference(demodulation,[status(thm)],[c_934,c_1009]) ).
tcf(c_1164,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(X1,X2)) = multiply(X1,divide(X0,X2)),
inference(superposition,[status(thm)],[c_936,c_1097]) ).
tcf(c_1927,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(X1,inverse(X2))) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_74,c_1164]) ).
tcf(c_2090,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(demodulation,[status(thm)],[c_1927,c_892]) ).
tcf(c_2091,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_802,c_2090]) ).
tcf(c_2092,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2091]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP089-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 13:32:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 3.01/1.09 % SZS status Started for theBenchmark.p
% 3.01/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.09
% 3.01/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.01/1.09
% 3.01/1.09 % ------ iProver source info
% 3.01/1.09
% 3.01/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 3.01/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.01/1.09 % git: non_committed_changes: false
% 3.01/1.09
% 3.01/1.09 % ------ Parsing...% successful
% 3.01/1.09
% 3.01/1.09
% 3.01/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.01/1.09
% 3.01/1.09 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.01/1.09
% 3.01/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.01/1.09
% 3.01/1.09 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.01/1.09 % ------ Proving...
% 3.01/1.09 % ------ Problem Properties
% 3.01/1.09
% 3.01/1.09 %
% 3.01/1.09 % clauses 4
% 3.01/1.09 % conjectures 1
% 3.01/1.09 % EPR 0
% 3.01/1.09 % Horn 4
% 3.01/1.09 % unary 3
% 3.01/1.09 % binary 0
% 3.01/1.09 % lits 7
% 3.01/1.09 % lits eq 7
% 3.01/1.09 % fd_pure 0
% 3.01/1.09 % fd_pseudo 0
% 3.01/1.09 % fd_cond 0
% 3.01/1.09 % fd_pseudo_cond 0
% 3.01/1.09 % AC symbols 0
% 3.01/1.09
% 3.01/1.09 % ------ Schedule dynamic 5 is on
% 3.01/1.09
% 3.01/1.09 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.01/1.09
% 3.01/1.09
% 3.01/1.09 % ------
% 3.01/1.09 % Current options:
% 3.01/1.09 % ------
% 3.01/1.09
% 3.01/1.09
% 3.01/1.09 %
% 3.01/1.09
% 3.01/1.09 % ------ Proving...
% 3.01/1.09 %
% 3.01/1.09
% 3.01/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.09
% 3.01/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.01/1.09
% 3.01/1.09
%------------------------------------------------------------------------------