%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 02:47:24 PM UTC 2026
% Result : Unsatisfiable 3.41s 1.29s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 23 unt; 5 def)
% Number of atoms : 48 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',range_of) ).
fof(f90,axiom,
! [X2,X0,X1] :
( domain_of(domain_of(X1)) = domain_of(X0)
| ~ compatible(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',compatible2) ).
fof(f91,plain,
! [X2,X0,X1] :
( domain_of(X0) = domain_of(domain_of(X1))
| ~ compatible(X0,X1,X2) ),
inference(reorient_equations,[],[f90]) ).
fof(f92,axiom,
! [X2,X0,X1] :
( subclass(range_of(X0),domain_of(domain_of(X2)))
| ~ compatible(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',compatible3) ).
fof(f122,negated_conjecture,
compatible(xh1,xf1,xf2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_1) ).
fof(f123,negated_conjecture,
compatible(xh2,xf2,xf3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_2) ).
fof(f124,negated_conjecture,
~ subclass(range_of(xh1),domain_of(xh2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_3) ).
fof(f126,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f171,plain,
! [X2,X0,X1] :
( subclass(domain_of(domain_of(flip(cross_product(X0,universal_class)))),domain_of(domain_of(X2)))
| ~ compatible(X0,X1,X2) ),
inference(definition_unfolding,[],[f92,f126]) ).
fof(f187,plain,
~ subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(xh2)),
inference(definition_unfolding,[],[f124,f126]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain_of(domain_of(X1)) = domain_of(X0) )
| ~ compatible(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subclass(domain_of(domain_of(flip(cross_product(X0,universal_class)))),domain_of(domain_of(X2)))
| ~ compatible(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_257,negated_conjecture,
compatible(xh1,xf1,xf2),
inference(cnf_transformation,[],[f122]) ).
tcf(c_258,negated_conjecture,
compatible(xh2,xf2,xf3),
inference(cnf_transformation,[],[f123]) ).
tcf(c_259,negated_conjecture,
~ subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(xh2)),
inference(cnf_transformation,[],[f187]) ).
tcf(c_3206,definition,
iPr_def_10 = cross_product(xh1,universal_class),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3207,definition,
iPr_def_11 = flip(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3208,definition,
iPr_def_12 = domain_of(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3209,definition,
iPr_def_13 = domain_of(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3210,definition,
iPr_def_14 = domain_of(xh2),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3211,negated_conjecture,
~ subclass(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_259,c_3210,c_3206,c_3207,c_3208,c_3209]) ).
tcf(c_3212,negated_conjecture,
compatible(xh2,xf2,xf3),
inference(demodulation,[status(thm)],[c_258]) ).
tcf(c_3213,negated_conjecture,
compatible(xh1,xf1,xf2),
inference(demodulation,[status(thm)],[c_257]) ).
tcf(c_4475,plain,
domain_of(domain_of(xf2)) = domain_of(xh2),
inference(superposition,[status(thm)],[c_3212,c_230]) ).
tcf(c_4476,plain,
domain_of(domain_of(xf2)) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_4475,c_3210]) ).
tcf(c_4851,plain,
subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(domain_of(xf2))),
inference(superposition,[status(thm)],[c_3213,c_231]) ).
tcf(c_4853,plain,
subclass(iPr_def_13,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_4851,c_3206,c_3207,c_3208,c_3209,c_4476]) ).
tcf(c_4854,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4853,c_3211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n016.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 : Thu Sep 24 11:23:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.41/1.29 % SZS status Started for theBenchmark.p
% 3.41/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.41/1.29
% 3.41/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.41/1.29
% 3.41/1.29 % ------ iProver source info
% 3.41/1.29
% 3.41/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.41/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.41/1.29 % git: non_committed_changes: false
% 3.41/1.29
% 3.41/1.29 % ------ Parsing...% successful
% 3.41/1.29
% 3.41/1.29
% 3.41/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.41/1.29
% 3.41/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.41/1.29
% 3.41/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.41/1.29
% 3.41/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.41/1.29 % ------ Proving...
% 3.41/1.29 % ------ Problem Properties
% 3.41/1.29
% 3.41/1.29 %
% 3.41/1.29 % clauses 89
% 3.41/1.29 % conjectures 3
% 3.41/1.29 % EPR 15
% 3.41/1.29 % Horn 81
% 3.41/1.29 % unary 28
% 3.41/1.29 % binary 40
% 3.41/1.29 % lits 177
% 3.41/1.29 % lits eq 30
% 3.41/1.29 % fd_pure 0
% 3.41/1.29 % fd_pseudo 0
% 3.41/1.29 % fd_cond 3
% 3.41/1.29 % fd_pseudo_cond 7
% 3.41/1.29 % AC symbols 0
% 3.41/1.29
% 3.41/1.29 % ------ Schedule dynamic 5 is on
% 3.41/1.29
% 3.41/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.41/1.29
% 3.41/1.29
% 3.41/1.29 % ------
% 3.41/1.29 % Current options:
% 3.41/1.29 % ------
% 3.41/1.29
% 3.41/1.29
% 3.41/1.29 %
% 3.41/1.29
% 3.41/1.29 % ------ Proving...
% 3.41/1.29 %
% 3.41/1.29
% 3.41/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.41/1.29
% 3.41/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.41/1.29
% 3.41/1.29
%------------------------------------------------------------------------------