%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP092-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 4.24s 1.30s
% Output : CNFRefutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 44 unt; 0 def)
% Number of atoms : 65 ( 64 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 : 93 ( 0 sgn 93 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,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,[],[f5]) ).
tcf(c_54,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,[],[f6]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(cnf_transformation,[],[f3]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_56,c_57]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] : divide(multiply(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_75,c_57]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_75,c_57]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_141,c_75]) ).
tcf(c_160,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_54,c_159]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_233,c_75]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(divide(X1,X0),X2)) = divide(X1,X2),
inference(superposition,[status(thm)],[c_55,c_297]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_75,c_297]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_141,c_297]) ).
tcf(c_306,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_297,c_142]) ).
tcf(c_307,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_160,c_306]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = X1,
inference(demodulation,[status(thm)],[c_142,c_306]) ).
tcf(c_310,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307,c_303]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_245,c_306]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_306,c_75]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i] : multiply(inverse(divide(X0,X0)),X1) = X1,
inference(superposition,[status(thm)],[c_57,c_308]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_301,c_440]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(superposition,[status(thm)],[c_436,c_297]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,X1)) = X0,
inference(demodulation,[status(thm)],[c_470,c_595]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_633,c_55]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_554,c_652]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i] : multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_652,c_297]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_688,c_436]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_688,c_297]) ).
tcf(c_763,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_310,c_759]) ).
tcf(c_801,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(demodulation,[status(thm)],[c_763,c_759]) ).
tcf(c_821,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_306,c_595]) ).
tcf(c_859,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_758,c_436]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(inverse(X1),X2)) = divide(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_859,c_440]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_859,c_75]) ).
tcf(c_1014,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(inverse(X1),X2)) = divide(divide(X0,X1),X2),
inference(superposition,[status(thm)],[c_436,c_299]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i,X2: $i] : divide(multiply(X0,X1),X2) = multiply(X1,divide(X0,X2)),
inference(superposition,[status(thm)],[c_554,c_299]) ).
tcf(c_1033,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),X2) = divide(X0,multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_1014,c_936]) ).
tcf(c_1039,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(X1,multiply(X0,X2))) = divide(X1,X2),
inference(demodulation,[status(thm)],[c_299,c_1033]) ).
tcf(c_1427,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,divide(X1,inverse(X2))) = multiply(X2,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1019,c_821]) ).
tcf(c_1606,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(X2,divide(X0,X1)),
inference(superposition,[status(thm)],[c_691,c_1039]) ).
tcf(c_1719,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(demodulation,[status(thm)],[c_937,c_1427,c_1606]) ).
tcf(c_1720,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(demodulation,[status(thm)],[c_801,c_1719]) ).
tcf(c_1721,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1720,c_759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP092-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n013.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 13:29:38 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 4.24/1.30 % SZS status Started for theBenchmark.p
% 4.24/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.30
% 4.24/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.24/1.30
% 4.24/1.30 % ------ iProver source info
% 4.24/1.30
% 4.24/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.24/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.24/1.30 % git: non_committed_changes: false
% 4.24/1.30
% 4.24/1.30 % ------ Parsing...% successful
% 4.24/1.30
% 4.24/1.30
% 4.24/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.24/1.30
% 4.24/1.30 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.24/1.30
% 4.24/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.24/1.30
% 4.24/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.24/1.30 % ------ Proving...
% 4.24/1.30 % ------ Problem Properties
% 4.24/1.30
% 4.24/1.30 %
% 4.24/1.30 % clauses 4
% 4.24/1.30 % conjectures 1
% 4.24/1.30 % EPR 0
% 4.24/1.30 % Horn 4
% 4.24/1.30 % unary 3
% 4.24/1.30 % binary 0
% 4.24/1.30 % lits 7
% 4.24/1.30 % lits eq 7
% 4.24/1.30 % fd_pure 0
% 4.24/1.30 % fd_pseudo 0
% 4.24/1.30 % fd_cond 0
% 4.24/1.30 % fd_pseudo_cond 0
% 4.24/1.30 % AC symbols 0
% 4.24/1.30
% 4.24/1.30 % ------ Schedule dynamic 5 is on
% 4.24/1.30
% 4.24/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.24/1.30
% 4.24/1.30
% 4.24/1.30 % ------
% 4.24/1.30 % Current options:
% 4.24/1.30 % ------
% 4.24/1.30
% 4.24/1.30
% 4.24/1.30 %
% 4.24/1.30
% 4.24/1.30 % ------ Proving...
% 4.24/1.30 %
% 4.24/1.30
% 4.24/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.30
% 4.24/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.30
% 4.24/1.30
%------------------------------------------------------------------------------