TSTP Solution File: LCL578+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL578+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 17:25:46 EDT 2023
% Result : CounterSatisfiable 0.21s 0.49s
% Output : FiniteModel 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL578+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 14:48:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.42 % (4707)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (4708)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43 % (4711)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (4709)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43 % (4710)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.43 % (4712)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.43 % (4713)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.43 % (4714)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.45 TRYING [1]
% 0.21/0.45 TRYING [2]
% 0.21/0.45 TRYING [3]
% 0.21/0.48 TRYING [3]
% 0.21/0.49 Finite Model Found!
% 0.21/0.49 % SZS status CounterSatisfiable for Vampire---4
% 0.21/0.49 % (4711)First to succeed.
% 0.21/0.49 % SZS output start FiniteModel for Vampire---4
% 0.21/0.49 tff(declare_$i,type,$i:$tType).
% 0.21/0.49 tff(declare_$i1,type,fmb_$i_1:$i).
% 0.21/0.49 tff(declare_$i2,type,fmb_$i_2:$i).
% 0.21/0.49 tff(declare_$i3,type,fmb_$i_3:$i).
% 0.21/0.49 tff(finite_domain,axiom,
% 0.21/0.49 ! [X:$i] : (
% 0.21/0.49 X = fmb_$i_1 | X = fmb_$i_2 | X = fmb_$i_3
% 0.21/0.49 ) ).
% 0.21/0.49
% 0.21/0.49 tff(distinct_domain,axiom,
% 0.21/0.49 fmb_$i_1 != fmb_$i_2 & fmb_$i_1 != fmb_$i_3 & fmb_$i_2 != fmb_$i_3
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_bool,type,$o:$tType).
% 0.21/0.49 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.21/0.49 tff(finite_domain,axiom,
% 0.21/0.49 ! [X:$o] : (
% 0.21/0.49 X = fmb_bool_1
% 0.21/0.49 ) ).
% 0.21/0.49
% 0.21/0.49 tff(declare_or,type,or: $i * $i > $i).
% 0.21/0.49 tff(function_or,axiom,
% 0.21/0.49 or(fmb_$i_1,fmb_$i_1) = fmb_$i_3
% 0.21/0.49 & or(fmb_$i_1,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & or(fmb_$i_1,fmb_$i_3) = fmb_$i_1
% 0.21/0.49 & or(fmb_$i_2,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & or(fmb_$i_2,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & or(fmb_$i_2,fmb_$i_3) = fmb_$i_1
% 0.21/0.49 & or(fmb_$i_3,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & or(fmb_$i_3,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & or(fmb_$i_3,fmb_$i_3) = fmb_$i_2
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_not,type,not: $i > $i).
% 0.21/0.49 tff(function_not,axiom,
% 0.21/0.49 not(fmb_$i_1) = fmb_$i_2
% 0.21/0.49 & not(fmb_$i_2) = fmb_$i_3
% 0.21/0.49 & not(fmb_$i_3) = fmb_$i_1
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_and,type,and: $i * $i > $i).
% 0.21/0.49 tff(function_and,axiom,
% 0.21/0.49 and(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & and(fmb_$i_1,fmb_$i_2) = fmb_$i_3
% 0.21/0.49 & and(fmb_$i_1,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & and(fmb_$i_2,fmb_$i_1) = fmb_$i_3
% 0.21/0.49 & and(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 0.21/0.49 & and(fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & and(fmb_$i_3,fmb_$i_1) = fmb_$i_3
% 0.21/0.49 & and(fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 0.21/0.49 & and(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_implies,type,implies: $i * $i > $i).
% 0.21/0.49 tff(function_implies,axiom,
% 0.21/0.49 implies(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & implies(fmb_$i_1,fmb_$i_2) = fmb_$i_2
% 0.21/0.49 & implies(fmb_$i_1,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & implies(fmb_$i_2,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & implies(fmb_$i_2,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & implies(fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & implies(fmb_$i_3,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & implies(fmb_$i_3,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & implies(fmb_$i_3,fmb_$i_3) = fmb_$i_1
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_equiv,type,equiv: $i * $i > $i).
% 0.21/0.49 tff(function_equiv,axiom,
% 0.21/0.49 equiv(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & equiv(fmb_$i_1,fmb_$i_2) = fmb_$i_3
% 0.21/0.49 & equiv(fmb_$i_1,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & equiv(fmb_$i_2,fmb_$i_1) = fmb_$i_3
% 0.21/0.49 & equiv(fmb_$i_2,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & equiv(fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & equiv(fmb_$i_3,fmb_$i_1) = fmb_$i_3
% 0.21/0.49 & equiv(fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 0.21/0.49 & equiv(fmb_$i_3,fmb_$i_3) = fmb_$i_1
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_necessarily,type,necessarily: $i > $i).
% 0.21/0.49 tff(function_necessarily,axiom,
% 0.21/0.49 necessarily(fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & necessarily(fmb_$i_2) = fmb_$i_2
% 0.21/0.49 & necessarily(fmb_$i_3) = fmb_$i_3
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_strict_implies,type,strict_implies: $i * $i > $i).
% 0.21/0.49 tff(function_strict_implies,axiom,
% 0.21/0.49 strict_implies(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & strict_implies(fmb_$i_1,fmb_$i_2) = fmb_$i_2
% 0.21/0.49 & strict_implies(fmb_$i_1,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & strict_implies(fmb_$i_2,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & strict_implies(fmb_$i_2,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & strict_implies(fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & strict_implies(fmb_$i_3,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & strict_implies(fmb_$i_3,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & strict_implies(fmb_$i_3,fmb_$i_3) = fmb_$i_1
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_strict_equiv,type,strict_equiv: $i * $i > $i).
% 0.21/0.49 tff(function_strict_equiv,axiom,
% 0.21/0.49 strict_equiv(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.21/0.49 & strict_equiv(fmb_$i_1,fmb_$i_2) = fmb_$i_3
% 0.21/0.49 & strict_equiv(fmb_$i_1,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & strict_equiv(fmb_$i_2,fmb_$i_1) = fmb_$i_3
% 0.21/0.49 & strict_equiv(fmb_$i_2,fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & strict_equiv(fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 0.21/0.49 & strict_equiv(fmb_$i_3,fmb_$i_1) = fmb_$i_3
% 0.21/0.49 & strict_equiv(fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 0.21/0.49 & strict_equiv(fmb_$i_3,fmb_$i_3) = fmb_$i_1
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_possibly,type,possibly: $i > $i).
% 0.21/0.49 tff(function_possibly,axiom,
% 0.21/0.49 possibly(fmb_$i_1) = fmb_$i_3
% 0.21/0.49 & possibly(fmb_$i_2) = fmb_$i_1
% 0.21/0.49 & possibly(fmb_$i_3) = fmb_$i_2
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 tff(declare_op_or,type,op_or: $o).tff(op_or_definition,axiom,op_or).
% 0.21/0.49 tff(declare_op_and,type,op_and: $o).tff(op_and_definition,axiom,~op_and).
% 0.21/0.49 tff(declare_op_implies_and,type,op_implies_and: $o).tff(op_implies_and_definition,axiom,~op_implies_and).
% 0.21/0.49 tff(declare_op_implies_or,type,op_implies_or: $o).tff(op_implies_or_definition,axiom,~op_implies_or).
% 0.21/0.49 tff(declare_op_equiv,type,op_equiv: $o).tff(op_equiv_definition,axiom,op_equiv).
% 0.21/0.49 tff(declare_necessitation,type,necessitation: $o).tff(necessitation_definition,axiom,necessitation).
% 0.21/0.49 tff(declare_modus_ponens_strict_implies,type,modus_ponens_strict_implies: $o).tff(modus_ponens_strict_implies_definition,axiom,modus_ponens_strict_implies).
% 0.21/0.49 tff(declare_adjunction,type,adjunction: $o).tff(adjunction_definition,axiom,adjunction).
% 0.21/0.49 tff(declare_substitution_strict_equiv,type,substitution_strict_equiv: $o).tff(substitution_strict_equiv_definition,axiom,substitution_strict_equiv).
% 0.21/0.49 tff(declare_axiom_K,type,axiom_K: $o).tff(axiom_K_definition,axiom,axiom_K).
% 0.21/0.49 tff(declare_axiom_M,type,axiom_M: $o).tff(axiom_M_definition,axiom,axiom_M).
% 0.21/0.49 tff(declare_axiom_4,type,axiom_4: $o).tff(axiom_4_definition,axiom,axiom_4).
% 0.21/0.49 tff(declare_axiom_B,type,axiom_B: $o).tff(axiom_B_definition,axiom,~axiom_B).
% 0.21/0.49 tff(declare_axiom_5,type,axiom_5: $o).tff(axiom_5_definition,axiom,axiom_5).
% 0.21/0.49 tff(declare_axiom_s1,type,axiom_s1: $o).tff(axiom_s1_definition,axiom,axiom_s1).
% 0.21/0.49 tff(declare_axiom_s2,type,axiom_s2: $o).tff(axiom_s2_definition,axiom,~axiom_s2).
% 0.21/0.49 tff(declare_axiom_s3,type,axiom_s3: $o).tff(axiom_s3_definition,axiom,~axiom_s3).
% 0.21/0.49 tff(declare_axiom_s4,type,axiom_s4: $o).tff(axiom_s4_definition,axiom,axiom_s4).
% 0.21/0.49 tff(declare_axiom_m1,type,axiom_m1: $o).tff(axiom_m1_definition,axiom,axiom_m1).
% 0.21/0.49 tff(declare_axiom_m2,type,axiom_m2: $o).tff(axiom_m2_definition,axiom,axiom_m2).
% 0.21/0.49 tff(declare_axiom_m3,type,axiom_m3: $o).tff(axiom_m3_definition,axiom,axiom_m3).
% 0.21/0.49 tff(declare_axiom_m4,type,axiom_m4: $o).tff(axiom_m4_definition,axiom,axiom_m4).
% 0.21/0.49 tff(declare_axiom_m5,type,axiom_m5: $o).tff(axiom_m5_definition,axiom,axiom_m5).
% 0.21/0.49 tff(declare_axiom_m6,type,axiom_m6: $o).tff(axiom_m6_definition,axiom,~axiom_m6).
% 0.21/0.49 tff(declare_axiom_m7,type,axiom_m7: $o).tff(axiom_m7_definition,axiom,~axiom_m7).
% 0.21/0.49 tff(declare_axiom_m8,type,axiom_m8: $o).tff(axiom_m8_definition,axiom,~axiom_m8).
% 0.21/0.49 tff(declare_axiom_m9,type,axiom_m9: $o).tff(axiom_m9_definition,axiom,~axiom_m9).
% 0.21/0.49 tff(declare_axiom_m10,type,axiom_m10: $o).tff(axiom_m10_definition,axiom,axiom_m10).
% 0.21/0.49 tff(declare_op_possibly,type,op_possibly: $o).tff(op_possibly_definition,axiom,op_possibly).
% 0.21/0.49 tff(declare_op_necessarily,type,op_necessarily: $o).tff(op_necessarily_definition,axiom,~op_necessarily).
% 0.21/0.49 tff(declare_op_strict_implies,type,op_strict_implies: $o).tff(op_strict_implies_definition,axiom,op_strict_implies).
% 0.21/0.49 tff(declare_op_strict_equiv,type,op_strict_equiv: $o).tff(op_strict_equiv_definition,axiom,op_strict_equiv).
% 0.21/0.49 tff(declare_op_implies,type,op_implies: $o).tff(op_implies_definition,axiom,op_implies).
% 0.21/0.49 tff(declare_is_a_theorem,type,is_a_theorem: $i > $o ).
% 0.21/0.49 tff(predicate_is_a_theorem,axiom,
% 0.21/0.49 is_a_theorem(fmb_$i_1)
% 0.21/0.49 & ~is_a_theorem(fmb_$i_2)
% 0.21/0.49 & ~is_a_theorem(fmb_$i_3)
% 0.21/0.49
% 0.21/0.49 ).
% 0.21/0.49
% 0.21/0.49 % SZS output end FiniteModel for Vampire---4
% 0.21/0.49 % (4711)------------------------------
% 0.21/0.49 % (4711)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (4711)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (4711)Termination reason: Satisfiable
% 0.21/0.49
% 0.21/0.49 % (4711)Memory used [KB]: 8827
% 0.21/0.49 % (4711)Time elapsed: 0.058 s
% 0.21/0.49 % (4711)------------------------------
% 0.21/0.49 % (4711)------------------------------
% 0.21/0.49 % (4707)Success in time 0.135 s
% 0.21/0.49 4710 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.ICNqE4Qg37/Vampire---4.8_4558
% 0.21/0.49 % (4710)------------------------------
% 0.21/0.49 % (4710)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (4710)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (4710)Termination reason: Unknown
% 0.21/0.49 % (4710)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (4710)Memory used [KB]: 5628
% 0.21/0.49 % (4710)Time elapsed: 0.062 s
% 0.21/0.49 % (4710)------------------------------
% 0.21/0.49 % (4710)------------------------------
% 0.21/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------