%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP104-1 : 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 : n003.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 01:30:54 PM UTC 2026
% Result : Unsatisfiable 0.71s 1.21s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 50 ( 39 unt; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 35 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 11 ( 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 : 99 ( 0 sgn 99 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,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(f4,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,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
tcf(c_52,negated_conjecture,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) )
| ( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(inverse(double_divide(X1,inverse(X2))),inverse(double_divide(inverse(double_divide(double_divide(X0,X3),inverse(X1))),X3))))) = X2,
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X3))),X2) = double_divide(X0,inverse(double_divide(inverse(X3),X1))),
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(X0,inverse(double_divide(inverse(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),X3),inverse(X4))),X3)),X1))) = double_divide(inverse(X4),X2),
inference(superposition,[status(thm)],[c_53,c_115]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
inference(superposition,[status(thm)],[c_115,c_53]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_124,c_124]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(double_divide(double_divide(inverse(X1),X2),X2),inverse(X0)))) = X1,
inference(superposition,[status(thm)],[c_53,c_151]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(inverse(X0),X1),X1),inverse(double_divide(X2,X3))) = double_divide(X2,inverse(double_divide(inverse(X0),X3))),
inference(superposition,[status(thm)],[c_182,c_53]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(X0,inverse(X1))),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_53,c_113]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1) = double_divide(inverse(X2),inverse(X0)),
inference(superposition,[status(thm)],[c_53,c_387]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,inverse(X1))),inverse(double_divide(inverse(double_divide(X1,inverse(X2))),inverse(X0)))) = X2,
inference(superposition,[status(thm)],[c_387,c_53]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(double_divide(X1,inverse(X2)),inverse(X0)))) = double_divide(X2,inverse(X1)),
inference(superposition,[status(thm)],[c_387,c_182]) ).
tcf(c_544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(inverse(double_divide(X1,inverse(X2))),X3))) = double_divide(double_divide(X2,inverse(X1)),inverse(double_divide(X0,X3))),
inference(superposition,[status(thm)],[c_387,c_225]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(inverse(X1),inverse(X0)))) = X1,
inference(demodulation,[status(thm)],[c_53,c_525]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_546,c_124]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(X1)),inverse(double_divide(double_divide(X2,inverse(X0)),inverse(X1)))) = X2,
inference(demodulation,[status(thm)],[c_535,c_544]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(double_divide(double_divide(X1,inverse(X2)),inverse(X0)))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[c_707,c_707]) ).
tcf(c_728,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X1)),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_727,c_540]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_387,c_728]) ).
tcf(c_813,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_628,c_728]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(X0,inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_728,c_387]) ).
tcf(c_822,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X2) = double_divide(inverse(X0),inverse(X1)),
inference(demodulation,[status(thm)],[c_525,c_812]) ).
tcf(c_823,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(b1,inverse(b1))) != double_divide(a1,inverse(a1)) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) )
| ( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ) ),
inference(demodulation,[status(thm)],[c_52,c_812]) ).
tcf(c_867,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(b1,inverse(b1))) != double_divide(a1,inverse(a1)) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ) ),
inference(ground_joinability,[status(thm)],[c_823,c_628,c_812]) ).
tcf(c_868,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),inverse(c3)) ) ),
inference(demodulation,[status(thm)],[c_867,c_812]) ).
tcf(c_869,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),inverse(c3)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_868,c_813]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(X1)),inverse(X2)) = inverse(double_divide(X2,double_divide(X1,inverse(X0)))),
inference(superposition,[status(thm)],[c_812,c_812]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,double_divide(X1,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_628,c_879]) ).
tcf(c_884,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,double_divide(X0,inverse(X1)))) = X1,
inference(demodulation,[status(thm)],[c_728,c_879]) ).
tcf(c_976,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X0))) = X1,
inference(light_normalisation,[status(thm)],[c_817,c_812]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_883,c_976]) ).
tcf(c_989,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_983,c_983]) ).
tcf(c_991,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_983,c_884]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,inverse(X1))) = inverse(X1),
inference(superposition,[status(thm)],[c_884,c_991]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_991,c_812]) ).
tcf(c_1034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),X3),X1))) = double_divide(inverse(X3),X2),
inference(demodulation,[status(thm)],[c_118,c_812,c_822,c_991,c_1001]) ).
tcf(c_1140,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,X1)),X2) = double_divide(X0,inverse(double_divide(X2,X1))),
inference(superposition,[status(thm)],[c_989,c_1034]) ).
tcf(c_1143,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != double_divide(double_divide(b3,a3),inverse(c3)) ) ),
inference(demodulation,[status(thm)],[c_869,c_1140]) ).
tcf(c_1169,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_991,c_997]) ).
tcf(c_1172,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( double_divide(double_divide(a3,b3),inverse(c3)) != double_divide(double_divide(b3,a3),inverse(c3)) ) ),
inference(demodulation,[status(thm)],[c_1143,c_812]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1169,c_989]) ).
tcf(c_1183,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( double_divide(double_divide(a3,b3),inverse(c3)) != double_divide(double_divide(a3,b3),inverse(c3)) ) ),
inference(demodulation,[status(thm)],[c_1172,c_1180]) ).
tcf(c_1184,plain,
inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)),
inference(equality_resolution_simp,[status(thm)],[c_1183]) ).
tcf(c_1186,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1184,c_1180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP104-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 13:33:49 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 0.71/1.21 % SZS status Started for theBenchmark.p
% 0.71/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.71/1.21
% 0.71/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.71/1.21
% 0.71/1.21 % ------ iProver source info
% 0.71/1.21
% 0.71/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.71/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.71/1.21 % git: non_committed_changes: false
% 0.71/1.21
% 0.71/1.21 % ------ Parsing...% successful
% 0.71/1.21
% 0.71/1.21
% 0.71/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.71/1.21
% 0.71/1.21 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.71/1.21
% 0.71/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.71/1.21
% 0.71/1.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.71/1.21 % ------ Proving...
% 0.71/1.21 % ------ Problem Properties
% 0.71/1.21
% 0.71/1.21 %
% 0.71/1.21 % clauses 2
% 0.71/1.21 % conjectures 1
% 0.71/1.21 % EPR 0
% 0.71/1.21 % Horn 2
% 0.71/1.21 % unary 1
% 0.71/1.21 % binary 0
% 0.71/1.21 % lits 5
% 0.71/1.21 % lits eq 5
% 0.71/1.21 % fd_pure 0
% 0.71/1.21 % fd_pseudo 0
% 0.71/1.21 % fd_cond 0
% 0.71/1.21 % fd_pseudo_cond 0
% 0.71/1.21 % AC symbols 0
% 0.71/1.21
% 0.71/1.21 % ------ Schedule dynamic 5 is on
% 0.71/1.21
% 0.71/1.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.71/1.21
% 0.71/1.21
% 0.71/1.21 % ------
% 0.71/1.21 % Current options:
% 0.71/1.21 % ------
% 0.71/1.21
% 0.71/1.21
% 0.71/1.21 %
% 0.71/1.21
% 0.71/1.21 % ------ Proving...
% 0.71/1.21 %
% 0.71/1.21
% 0.71/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.71/1.21
% 0.71/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.71/1.21
% 0.71/1.21
%------------------------------------------------------------------------------