%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 01:58:06 PM UTC 2026
% Result : Unsatisfiable 3.54s 1.24s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 116 ( 116 unt; 15 def)
% Number of atoms : 299 ( 115 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : join(complement(X0),X0) = n1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT003-0.ax',top) ).
fof(f3,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT003-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT003-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT003-0.ax',associativity_of_join) ).
fof(f8,axiom,
! [X0] : complement(complement(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT003-0.ax',complement_involution) ).
fof(f9,axiom,
! [X0,X1] : join(X0,join(X1,complement(X1))) = join(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT003-0.ax',join_complement) ).
fof(f10,plain,
! [X0,X1] : join(X1,complement(X1)) = join(X0,join(X1,complement(X1))),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LAT003-0.ax',meet_complement) ).
fof(f12,negated_conjecture,
join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b)) != n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_e3) ).
fof(f13,plain,
n1 != join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b)),
inference(reorient_equations,[],[f12]) ).
fof(f15,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(definition_unfolding,[],[f3,f11]) ).
fof(f18,plain,
n1 != join(complement(join(join(complement(join(complement(complement(a)),complement(b))),complement(join(complement(complement(a)),complement(complement(b))))),complement(join(complement(a),complement(join(complement(a),b)))))),join(complement(a),b)),
inference(definition_unfolding,[],[f13,f11,f11,f11]) ).
tcf(c_60,plain,
! [X0: $i] : join(complement(X0),X0) = n1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(cnf_transformation,[],[f15]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X1))) = join(X1,complement(X1)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_69,negated_conjecture,
join(complement(join(join(complement(join(complement(complement(a)),complement(b))),complement(join(complement(complement(a)),complement(complement(b))))),complement(join(complement(a),complement(join(complement(a),b)))))),join(complement(a),b)) != n1,
inference(cnf_transformation,[],[f18]) ).
tcf(c_79,plain,
! [X0: $i] : join(X0,complement(X0)) = n1,
inference(theory_normalisation,[status(thm)],[c_60,c_66,c_64]) ).
tcf(c_81,negated_conjecture,
join(b,join(complement(a),complement(join(complement(join(complement(b),complement(complement(a)))),join(complement(join(complement(complement(b)),complement(complement(a)))),complement(join(complement(a),complement(join(b,complement(a)))))))))) != n1,
inference(theory_normalisation,[status(thm)],[c_69,c_66,c_64]) ).
tcf(c_103,plain,
! [X0: $i] : join(X0,n1) = n1,
inference(demodulation,[status(thm)],[c_68,c_79]) ).
tcf(c_104,plain,
join(b,join(complement(a),complement(join(complement(join(a,complement(b))),join(complement(join(b,a)),complement(join(complement(a),complement(join(b,complement(a)))))))))) != n1,
inference(demodulation,[status(thm)],[c_81,c_64,c_67]) ).
tcf(c_105,plain,
join(b,join(complement(a),complement(join(complement(join(b,a)),join(complement(join(a,complement(b))),complement(join(complement(a),complement(join(b,complement(a)))))))))) != n1,
inference(theory_normalisation,[status(thm)],[c_104,c_66,c_64]) ).
tcf(c_131,definition,
iPr_def_10 = complement(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_132,definition,
iPr_def_11 = join(b,a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_133,definition,
iPr_def_12 = complement(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_134,definition,
iPr_def_13 = complement(b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_135,definition,
iPr_def_14 = join(a,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_136,definition,
iPr_def_15 = complement(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_137,definition,
iPr_def_16 = join(b,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_138,definition,
iPr_def_17 = complement(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_139,definition,
iPr_def_18 = join(iPr_def_10,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_140,definition,
iPr_def_19 = complement(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_141,definition,
iPr_def_20 = join(iPr_def_15,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_142,definition,
iPr_def_21 = join(iPr_def_12,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_143,definition,
iPr_def_22 = complement(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_144,definition,
iPr_def_23 = join(iPr_def_10,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_145,definition,
iPr_def_24 = join(b,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_147,plain,
iPr_def_24 != n1,
inference(demodulation,[status(thm)],[c_105,c_137,c_138,c_139,c_140,c_134,c_135,c_136,c_141,c_132,c_133,c_142,c_143,c_131,c_144,c_145]) ).
tcf(c_148,plain,
! [X0: $i] : join(X0,n1) = n1,
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_150,plain,
! [X0: $i] : join(X0,complement(X0)) = n1,
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_152,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_153,c_154]) ).
tcf(c_246,plain,
! [X0: $i] : join(a,complement(join(iPr_def_10,complement(X0)))) = a,
inference(superposition,[status(thm)],[c_131,c_151]) ).
tcf(c_247,plain,
! [X0: $i] : join(b,complement(join(iPr_def_13,complement(X0)))) = b,
inference(superposition,[status(thm)],[c_134,c_151]) ).
tcf(c_253,plain,
! [X0: $i] : join(iPr_def_21,complement(join(iPr_def_22,complement(X0)))) = iPr_def_21,
inference(superposition,[status(thm)],[c_143,c_151]) ).
tcf(c_254,plain,
! [X0: $i] : join(X0,complement(join(complement(X0),iPr_def_10))) = X0,
inference(superposition,[status(thm)],[c_131,c_151]) ).
tcf(c_262,plain,
! [X0: $i] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_151,c_151]) ).
tcf(c_264,plain,
! [X0: $i] : join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_262,c_152]) ).
tcf(c_273,plain,
! [X0: $i] : join(X0,complement(join(iPr_def_10,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_254,c_154]) ).
tcf(c_293,plain,
complement(iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_133,c_152]) ).
tcf(c_294,plain,
complement(iPr_def_15) = iPr_def_14,
inference(superposition,[status(thm)],[c_136,c_152]) ).
tcf(c_295,plain,
complement(iPr_def_17) = iPr_def_16,
inference(superposition,[status(thm)],[c_138,c_152]) ).
tcf(c_296,plain,
complement(iPr_def_19) = iPr_def_18,
inference(superposition,[status(thm)],[c_140,c_152]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_152,c_151]) ).
tcf(c_309,plain,
join(iPr_def_13,a) = iPr_def_14,
inference(demodulation,[status(thm)],[c_135,c_154]) ).
tcf(c_310,plain,
join(iPr_def_10,b) = iPr_def_16,
inference(demodulation,[status(thm)],[c_137,c_154]) ).
tcf(c_311,plain,
join(iPr_def_23,b) = iPr_def_24,
inference(demodulation,[status(thm)],[c_145,c_154]) ).
tcf(c_312,plain,
join(iPr_def_17,iPr_def_10) = iPr_def_18,
inference(demodulation,[status(thm)],[c_139,c_154]) ).
tcf(c_313,plain,
join(iPr_def_22,iPr_def_10) = iPr_def_23,
inference(demodulation,[status(thm)],[c_144,c_154]) ).
tcf(c_323,plain,
! [X0: $i] : join(b,join(a,X0)) = join(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_132,c_153]) ).
tcf(c_324,plain,
! [X0: $i] : join(iPr_def_15,join(iPr_def_19,X0)) = join(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_141,c_153]) ).
tcf(c_325,plain,
! [X0: $i] : join(iPr_def_12,join(iPr_def_20,X0)) = join(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_142,c_153]) ).
tcf(c_327,plain,
! [X0: $i] : join(iPr_def_10,join(b,X0)) = join(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_310,c_153]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(X1,n1),
inference(superposition,[status(thm)],[c_150,c_227]) ).
tcf(c_354,plain,
! [X0: $i] : join(iPr_def_10,join(X0,b)) = join(X0,iPr_def_16),
inference(superposition,[status(thm)],[c_310,c_227]) ).
tcf(c_355,plain,
! [X0: $i] : join(iPr_def_23,join(X0,b)) = join(X0,iPr_def_24),
inference(superposition,[status(thm)],[c_311,c_227]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = n1,
inference(demodulation,[status(thm)],[c_348,c_148]) ).
tcf(c_392,plain,
complement(iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_293,c_152]) ).
tcf(c_394,plain,
complement(iPr_def_14) = iPr_def_15,
inference(superposition,[status(thm)],[c_294,c_152]) ).
tcf(c_396,plain,
complement(iPr_def_16) = iPr_def_17,
inference(superposition,[status(thm)],[c_295,c_152]) ).
tcf(c_403,plain,
! [X0: $i] : join(iPr_def_22,join(iPr_def_10,X0)) = join(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_313,c_153]) ).
tcf(c_404,plain,
! [X0: $i] : join(iPr_def_22,join(X0,iPr_def_10)) = join(X0,iPr_def_23),
inference(superposition,[status(thm)],[c_313,c_227]) ).
tcf(c_408,plain,
complement(iPr_def_18) = iPr_def_19,
inference(superposition,[status(thm)],[c_296,c_152]) ).
tcf(c_495,plain,
! [X0: $i] : join(a,complement(join(iPr_def_10,X0))) = a,
inference(superposition,[status(thm)],[c_152,c_246]) ).
tcf(c_533,plain,
! [X0: $i] : join(b,complement(join(iPr_def_13,X0))) = b,
inference(superposition,[status(thm)],[c_152,c_247]) ).
tcf(c_873,plain,
! [X0: $i] : join(iPr_def_21,complement(join(iPr_def_22,X0))) = iPr_def_21,
inference(superposition,[status(thm)],[c_152,c_253]) ).
tcf(c_1365,plain,
join(iPr_def_16,complement(join(iPr_def_10,iPr_def_17))) = iPr_def_16,
inference(superposition,[status(thm)],[c_396,c_273]) ).
tcf(c_1407,plain,
join(iPr_def_16,iPr_def_19) = iPr_def_16,
inference(demodulation,[status(thm)],[c_1365,c_154,c_312,c_408]) ).
tcf(c_1703,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_154,c_300]) ).
tcf(c_1917,plain,
join(b,complement(iPr_def_14)) = b,
inference(superposition,[status(thm)],[c_309,c_533]) ).
tcf(c_1928,plain,
join(iPr_def_15,b) = b,
inference(demodulation,[status(thm)],[c_1917,c_154,c_394]) ).
tcf(c_2023,plain,
join(iPr_def_10,b) = join(iPr_def_16,b),
inference(superposition,[status(thm)],[c_264,c_327]) ).
tcf(c_2035,plain,
join(iPr_def_16,b) = iPr_def_16,
inference(demodulation,[status(thm)],[c_2023,c_310]) ).
tcf(c_2976,plain,
join(iPr_def_10,iPr_def_24) = join(iPr_def_23,iPr_def_16),
inference(superposition,[status(thm)],[c_311,c_354]) ).
tcf(c_2990,plain,
join(iPr_def_10,iPr_def_24) = join(iPr_def_16,iPr_def_23),
inference(demodulation,[status(thm)],[c_2976,c_154]) ).
tcf(c_3008,plain,
join(iPr_def_15,iPr_def_24) = join(iPr_def_23,b),
inference(superposition,[status(thm)],[c_1928,c_355]) ).
tcf(c_3018,plain,
join(iPr_def_15,iPr_def_24) = iPr_def_24,
inference(demodulation,[status(thm)],[c_3008,c_311]) ).
tcf(c_3068,plain,
join(iPr_def_10,iPr_def_16) = join(iPr_def_16,iPr_def_16),
inference(superposition,[status(thm)],[c_2035,c_354]) ).
tcf(c_3069,plain,
join(iPr_def_16,iPr_def_10) = iPr_def_16,
inference(demodulation,[status(thm)],[c_3068,c_154,c_264]) ).
tcf(c_3235,plain,
join(iPr_def_22,iPr_def_16) = join(iPr_def_23,b),
inference(superposition,[status(thm)],[c_310,c_403]) ).
tcf(c_3253,plain,
join(iPr_def_22,iPr_def_16) = iPr_def_24,
inference(demodulation,[status(thm)],[c_3235,c_311]) ).
tcf(c_3398,plain,
! [X0: $i] : join(iPr_def_22,join(iPr_def_16,X0)) = join(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_3253,c_153]) ).
tcf(c_3685,plain,
join(iPr_def_21,complement(iPr_def_24)) = iPr_def_21,
inference(superposition,[status(thm)],[c_3253,c_873]) ).
tcf(c_5662,plain,
join(iPr_def_16,iPr_def_23) = join(iPr_def_22,iPr_def_16),
inference(superposition,[status(thm)],[c_3069,c_404]) ).
tcf(c_5665,plain,
join(iPr_def_16,iPr_def_23) = iPr_def_24,
inference(demodulation,[status(thm)],[c_5662,c_3253]) ).
tcf(c_5666,plain,
join(iPr_def_10,iPr_def_24) = iPr_def_24,
inference(demodulation,[status(thm)],[c_2990,c_5665]) ).
tcf(c_7297,plain,
join(a,complement(iPr_def_24)) = a,
inference(superposition,[status(thm)],[c_5666,c_495]) ).
tcf(c_8328,plain,
join(iPr_def_24,iPr_def_21) = n1,
inference(superposition,[status(thm)],[c_3685,c_356]) ).
tcf(c_8331,plain,
join(iPr_def_21,iPr_def_24) = n1,
inference(demodulation,[status(thm)],[c_8328,c_154]) ).
tcf(c_8831,plain,
join(iPr_def_22,iPr_def_16) = join(iPr_def_24,iPr_def_19),
inference(superposition,[status(thm)],[c_1407,c_3398]) ).
tcf(c_8865,plain,
join(iPr_def_19,iPr_def_24) = iPr_def_24,
inference(demodulation,[status(thm)],[c_8831,c_154,c_3253]) ).
tcf(c_9168,plain,
join(iPr_def_15,iPr_def_24) = join(iPr_def_20,iPr_def_24),
inference(superposition,[status(thm)],[c_8865,c_324]) ).
tcf(c_9171,plain,
join(iPr_def_20,iPr_def_24) = iPr_def_24,
inference(demodulation,[status(thm)],[c_9168,c_3018]) ).
tcf(c_9186,plain,
join(iPr_def_12,iPr_def_24) = join(iPr_def_21,iPr_def_24),
inference(superposition,[status(thm)],[c_9171,c_325]) ).
tcf(c_9189,plain,
join(iPr_def_12,iPr_def_24) = n1,
inference(demodulation,[status(thm)],[c_9186,c_8331]) ).
tcf(c_10085,plain,
join(iPr_def_11,complement(iPr_def_24)) = join(b,a),
inference(superposition,[status(thm)],[c_7297,c_323]) ).
tcf(c_10090,plain,
join(iPr_def_11,complement(iPr_def_24)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_10085,c_132]) ).
tcf(c_10117,plain,
join(iPr_def_24,complement(iPr_def_11)) = iPr_def_24,
inference(superposition,[status(thm)],[c_10090,c_1703]) ).
tcf(c_10129,plain,
n1 = iPr_def_24,
inference(demodulation,[status(thm)],[c_10117,c_154,c_392,c_9189]) ).
tcf(c_10239,plain,
iPr_def_24 != iPr_def_24,
inference(demodulation,[status(thm)],[c_147,c_10129]) ).
tcf(c_10240,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_10239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 % Computer : n011.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8046.5625MB
% 0.11/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Wed Sep 23 20:01:44 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.45 Running UEQ theorem proving
% 0.11/0.45 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47
% 0.16/0.47 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.47
% 0.16/0.47 % Detected problem language: tptp
% 0.16/0.48 % Proving...
% 3.54/1.24 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.54/1.24 % SZS status Started for theBenchmark.p
% 3.54/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 3.54/1.24
% 3.54/1.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.54/1.24
% 3.54/1.24 % ------ iProver source info
% 3.54/1.24
% 3.54/1.24 % git: date: 2026-07-19 20:42:38 +0200
% 3.54/1.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.54/1.24 % git: non_committed_changes: false
% 3.54/1.24
% 3.54/1.24 % ------ Parsing...% successful
% 3.54/1.24
% 3.54/1.24
% 3.54/1.24 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.54/1.24
% 3.54/1.24 % ------ Preprocessing... sup_sim: 4 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.54/1.24
% 3.54/1.24 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.54/1.24
% 3.54/1.24 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.54/1.24 % ------ Proving...
% 3.54/1.24 % ------ Problem Properties
% 3.54/1.24
% 3.54/1.24 %
% 3.54/1.24 % clauses 24
% 3.54/1.24 % conjectures 0
% 3.54/1.24 % EPR 2
% 3.54/1.24 % Horn 24
% 3.54/1.24 % unary 24
% 3.54/1.24 % binary 0
% 3.54/1.24 % lits 24
% 3.54/1.24 % lits eq 24
% 3.54/1.24 % fd_pure 0
% 3.54/1.24 % fd_pseudo 0
% 3.54/1.24 % fd_cond 0
% 3.54/1.24 % fd_pseudo_cond 0
% 3.54/1.24 % AC symbols 1
% 3.54/1.24
% 3.54/1.24 % ------ Input Options Time Limit: Unbounded
% 3.54/1.24
% 3.54/1.24
% 3.54/1.24 % ------
% 3.54/1.24 % Current options:
% 3.54/1.24 % ------
% 3.54/1.24
% 3.54/1.24
% 3.54/1.24 %
% 3.54/1.24
% 3.54/1.24 % ------ Proving...
% 3.54/1.24 %
% 3.54/1.24
% 3.54/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 3.54/1.24
% 3.54/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.24
% 3.54/1.24
%------------------------------------------------------------------------------