0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.04 % Command : vampire --mode casc_sat -t %d %s 0.03/0.24 % Computer : n141.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Fri Jul 13 14:53:06 CDT 2018 0.03/0.24 % CPUTime : 0.06/0.28 % ott+11_3_aac=none:afr=on:afp=4000:afq=1.4:amm=off:anc=all:bs=unit_only:bsr=on:bce=on:fde=unused:irw=on:nm=64:newcnf=on:nwc=1:nicw=on:sac=on:sp=reverse_arity:uhcvi=on_31 on theBenchmark 4.29/4.48 % Time limit reached! 4.29/4.48 % ------------------------------ 4.29/4.48 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.29/4.48 % Termination reason: Time limit 4.29/4.48 % Termination phase: Saturation 4.29/4.48 4.29/4.48 % Memory used [KB]: 113985 4.29/4.48 % Time elapsed: 4.200 s 4.29/4.48 % ------------------------------ 4.29/4.48 % ------------------------------ 4.31/4.52 % fmb+10_1_av=off:fmbsr=1.1:newcnf=on_266 on theBenchmark 4.31/4.53 TRYING [1] 4.31/4.53 TRYING [2] 4.31/4.53 TRYING [3] 4.31/4.54 TRYING [4] 4.31/4.57 Finite Model Found! 4.31/4.57 % SZS status CounterSatisfiable for theBenchmark 4.31/4.57 Satisfiable! 4.31/4.57 % SZS output start FiniteModel for theBenchmark 4.31/4.57 tff(declare_$i,type,$i:$tType). 4.31/4.57 tff(declare_$i1,type,fmb_$i_1:$i). 4.31/4.57 tff(declare_$i2,type,fmb_$i_2:$i). 4.31/4.57 tff(declare_$i3,type,fmb_$i_3:$i). 4.31/4.57 tff(declare_$i4,type,fmb_$i_4:$i). 4.31/4.57 tff(finite_domain,axiom, 4.31/4.57 ! [X:$i] : ( 4.31/4.57 X = fmb_$i_1 | X = fmb_$i_2 | X = fmb_$i_3 | X = fmb_$i_4 4.31/4.57 ) ). 4.31/4.57 4.31/4.57 tff(distinct_domain,axiom, 4.31/4.57 fmb_$i_1 != fmb_$i_2 & fmb_$i_1 != fmb_$i_3 & fmb_$i_1 != fmb_$i_4 & fmb_$i_2 != fmb_$i_3 & fmb_$i_2 != fmb_$i_4 & 4.31/4.57 fmb_$i_3 != fmb_$i_4 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_or,type,or: $i * $i > $i). 4.31/4.57 tff(function_or,axiom, 4.31/4.57 or(fmb_$i_1,fmb_$i_1) = fmb_$i_1 4.31/4.57 & or(fmb_$i_1,fmb_$i_2) = fmb_$i_1 4.31/4.57 & or(fmb_$i_1,fmb_$i_3) = fmb_$i_4 4.31/4.57 & or(fmb_$i_1,fmb_$i_4) = fmb_$i_4 4.31/4.57 & or(fmb_$i_2,fmb_$i_1) = fmb_$i_1 4.31/4.57 & or(fmb_$i_2,fmb_$i_2) = fmb_$i_2 4.31/4.57 & or(fmb_$i_2,fmb_$i_3) = fmb_$i_3 4.31/4.57 & or(fmb_$i_2,fmb_$i_4) = fmb_$i_4 4.31/4.57 & or(fmb_$i_3,fmb_$i_1) = fmb_$i_4 4.31/4.57 & or(fmb_$i_3,fmb_$i_2) = fmb_$i_3 4.31/4.57 & or(fmb_$i_3,fmb_$i_3) = fmb_$i_3 4.31/4.57 & or(fmb_$i_3,fmb_$i_4) = fmb_$i_4 4.31/4.57 & or(fmb_$i_4,fmb_$i_1) = fmb_$i_4 4.31/4.57 & or(fmb_$i_4,fmb_$i_2) = fmb_$i_4 4.31/4.57 & or(fmb_$i_4,fmb_$i_3) = fmb_$i_4 4.31/4.57 & or(fmb_$i_4,fmb_$i_4) = fmb_$i_4 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_not,type,not: $i > $i). 4.31/4.57 tff(function_not,axiom, 4.31/4.57 not(fmb_$i_1) = fmb_$i_3 4.31/4.57 & not(fmb_$i_2) = fmb_$i_4 4.31/4.57 & not(fmb_$i_3) = fmb_$i_1 4.31/4.57 & not(fmb_$i_4) = fmb_$i_2 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_and,type,and: $i * $i > $i). 4.31/4.57 tff(function_and,axiom, 4.31/4.57 and(fmb_$i_1,fmb_$i_1) = fmb_$i_1 4.31/4.57 & and(fmb_$i_1,fmb_$i_2) = fmb_$i_2 4.31/4.57 & and(fmb_$i_1,fmb_$i_3) = fmb_$i_2 4.31/4.57 & and(fmb_$i_1,fmb_$i_4) = fmb_$i_1 4.31/4.57 & and(fmb_$i_2,fmb_$i_1) = fmb_$i_2 4.31/4.57 & and(fmb_$i_2,fmb_$i_2) = fmb_$i_2 4.31/4.57 & and(fmb_$i_2,fmb_$i_3) = fmb_$i_2 4.31/4.57 & and(fmb_$i_2,fmb_$i_4) = fmb_$i_2 4.31/4.57 & and(fmb_$i_3,fmb_$i_1) = fmb_$i_2 4.31/4.57 & and(fmb_$i_3,fmb_$i_2) = fmb_$i_2 4.31/4.57 & and(fmb_$i_3,fmb_$i_3) = fmb_$i_3 4.31/4.57 & and(fmb_$i_3,fmb_$i_4) = fmb_$i_3 4.31/4.57 & and(fmb_$i_4,fmb_$i_1) = fmb_$i_1 4.31/4.57 & and(fmb_$i_4,fmb_$i_2) = fmb_$i_2 4.31/4.57 & and(fmb_$i_4,fmb_$i_3) = fmb_$i_3 4.31/4.57 & and(fmb_$i_4,fmb_$i_4) = fmb_$i_4 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_implies,type,implies: $i * $i > $i). 4.31/4.57 tff(function_implies,axiom, 4.31/4.57 implies(fmb_$i_1,fmb_$i_1) = fmb_$i_4 4.31/4.57 & implies(fmb_$i_1,fmb_$i_2) = fmb_$i_3 4.31/4.57 & implies(fmb_$i_1,fmb_$i_3) = fmb_$i_3 4.31/4.57 & implies(fmb_$i_1,fmb_$i_4) = fmb_$i_4 4.31/4.57 & implies(fmb_$i_2,fmb_$i_1) = fmb_$i_4 4.31/4.57 & implies(fmb_$i_2,fmb_$i_2) = fmb_$i_4 4.31/4.57 & implies(fmb_$i_2,fmb_$i_3) = fmb_$i_4 4.31/4.57 & implies(fmb_$i_2,fmb_$i_4) = fmb_$i_4 4.31/4.57 & implies(fmb_$i_3,fmb_$i_1) = fmb_$i_1 4.31/4.57 & implies(fmb_$i_3,fmb_$i_2) = fmb_$i_1 4.31/4.57 & implies(fmb_$i_3,fmb_$i_3) = fmb_$i_4 4.31/4.57 & implies(fmb_$i_3,fmb_$i_4) = fmb_$i_4 4.31/4.57 & implies(fmb_$i_4,fmb_$i_1) = fmb_$i_1 4.31/4.57 & implies(fmb_$i_4,fmb_$i_2) = fmb_$i_2 4.31/4.57 & implies(fmb_$i_4,fmb_$i_3) = fmb_$i_3 4.31/4.57 & implies(fmb_$i_4,fmb_$i_4) = fmb_$i_4 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_equiv,type,equiv: $i * $i > $i). 4.31/4.57 tff(function_equiv,axiom, 4.31/4.57 equiv(fmb_$i_1,fmb_$i_1) = fmb_$i_4 4.31/4.57 & equiv(fmb_$i_1,fmb_$i_2) = fmb_$i_3 4.31/4.57 & equiv(fmb_$i_1,fmb_$i_3) = fmb_$i_2 4.31/4.57 & equiv(fmb_$i_1,fmb_$i_4) = fmb_$i_1 4.31/4.57 & equiv(fmb_$i_2,fmb_$i_1) = fmb_$i_3 4.31/4.57 & equiv(fmb_$i_2,fmb_$i_2) = fmb_$i_4 4.31/4.57 & equiv(fmb_$i_2,fmb_$i_3) = fmb_$i_1 4.31/4.57 & equiv(fmb_$i_2,fmb_$i_4) = fmb_$i_2 4.31/4.57 & equiv(fmb_$i_3,fmb_$i_1) = fmb_$i_2 4.31/4.57 & equiv(fmb_$i_3,fmb_$i_2) = fmb_$i_1 4.31/4.57 & equiv(fmb_$i_3,fmb_$i_3) = fmb_$i_4 4.31/4.57 & equiv(fmb_$i_3,fmb_$i_4) = fmb_$i_3 4.31/4.57 & equiv(fmb_$i_4,fmb_$i_1) = fmb_$i_1 4.31/4.57 & equiv(fmb_$i_4,fmb_$i_2) = fmb_$i_2 4.31/4.57 & equiv(fmb_$i_4,fmb_$i_3) = fmb_$i_3 4.31/4.57 & equiv(fmb_$i_4,fmb_$i_4) = fmb_$i_4 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_possibly,type,possibly: $i > $i). 4.31/4.57 tff(function_possibly,axiom, 4.31/4.57 possibly(fmb_$i_1) = fmb_$i_4 4.31/4.57 & possibly(fmb_$i_2) = fmb_$i_2 4.31/4.57 & possibly(fmb_$i_3) = fmb_$i_4 4.31/4.57 & possibly(fmb_$i_4) = fmb_$i_4 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_strict_implies,type,strict_implies: $i * $i > $i). 4.31/4.57 tff(function_strict_implies,axiom, 4.31/4.57 strict_implies(fmb_$i_1,fmb_$i_1) = fmb_$i_4 4.31/4.57 & strict_implies(fmb_$i_1,fmb_$i_2) = fmb_$i_2 4.31/4.57 & strict_implies(fmb_$i_1,fmb_$i_3) = fmb_$i_2 4.31/4.57 & strict_implies(fmb_$i_1,fmb_$i_4) = fmb_$i_4 4.31/4.57 & strict_implies(fmb_$i_2,fmb_$i_1) = fmb_$i_4 4.31/4.57 & strict_implies(fmb_$i_2,fmb_$i_2) = fmb_$i_4 4.31/4.57 & strict_implies(fmb_$i_2,fmb_$i_3) = fmb_$i_4 4.31/4.57 & strict_implies(fmb_$i_2,fmb_$i_4) = fmb_$i_4 4.31/4.57 & strict_implies(fmb_$i_3,fmb_$i_1) = fmb_$i_2 4.31/4.57 & strict_implies(fmb_$i_3,fmb_$i_2) = fmb_$i_2 4.31/4.57 & strict_implies(fmb_$i_3,fmb_$i_3) = fmb_$i_4 4.31/4.57 & strict_implies(fmb_$i_3,fmb_$i_4) = fmb_$i_4 4.31/4.57 & strict_implies(fmb_$i_4,fmb_$i_1) = fmb_$i_2 4.31/4.57 & strict_implies(fmb_$i_4,fmb_$i_2) = fmb_$i_2 4.31/4.57 & strict_implies(fmb_$i_4,fmb_$i_3) = fmb_$i_2 4.31/4.57 & strict_implies(fmb_$i_4,fmb_$i_4) = fmb_$i_4 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_necessarily,type,necessarily: $i > $i). 4.31/4.57 tff(function_necessarily,axiom, 4.31/4.57 necessarily(fmb_$i_1) = fmb_$i_2 4.31/4.57 & necessarily(fmb_$i_2) = fmb_$i_2 4.31/4.57 & necessarily(fmb_$i_3) = fmb_$i_2 4.31/4.57 & necessarily(fmb_$i_4) = fmb_$i_4 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_strict_equiv,type,strict_equiv: $i * $i > $i). 4.31/4.57 tff(function_strict_equiv,axiom, 4.31/4.57 strict_equiv(fmb_$i_1,fmb_$i_1) = fmb_$i_4 4.31/4.57 & strict_equiv(fmb_$i_1,fmb_$i_2) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_1,fmb_$i_3) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_1,fmb_$i_4) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_2,fmb_$i_1) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_2,fmb_$i_2) = fmb_$i_4 4.31/4.57 & strict_equiv(fmb_$i_2,fmb_$i_3) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_2,fmb_$i_4) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_3,fmb_$i_1) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_3,fmb_$i_2) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_3,fmb_$i_3) = fmb_$i_4 4.31/4.57 & strict_equiv(fmb_$i_3,fmb_$i_4) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_4,fmb_$i_1) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_4,fmb_$i_2) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_4,fmb_$i_3) = fmb_$i_2 4.31/4.57 & strict_equiv(fmb_$i_4,fmb_$i_4) = fmb_$i_4 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 tff(declare_op_or,type,op_or: $o).tff(op_or_definition,axiom,op_or). 4.31/4.57 tff(declare_op_and,type,op_and: $o).% op_and undefined 4.31/4.57 tff(declare_op_implies_and,type,op_implies_and: $o).tff(op_implies_and_definition,axiom,op_implies_and). 4.31/4.57 tff(declare_op_implies_or,type,op_implies_or: $o).% op_implies_or undefined 4.31/4.57 tff(declare_op_equiv,type,op_equiv: $o).tff(op_equiv_definition,axiom,op_equiv). 4.31/4.57 tff(declare_axiom_m6,type,axiom_m6: $o).% axiom_m6 undefined 4.31/4.57 tff(declare_axiom_m5,type,axiom_m5: $o).% axiom_m5 undefined 4.31/4.57 tff(declare_axiom_s1,type,axiom_s1: $o).% axiom_s1 undefined 4.31/4.57 tff(declare_axiom_m9,type,axiom_m9: $o).% axiom_m9 undefined 4.31/4.57 tff(declare_axiom_m7,type,axiom_m7: $o).% axiom_m7 undefined 4.31/4.57 tff(declare_substitution_strict_equiv,type,substitution_strict_equiv: $o).% substitution_strict_equiv undefined 4.31/4.57 tff(declare_axiom_m10,type,axiom_m10: $o).% axiom_m10 undefined 4.31/4.57 tff(declare_axiom_m3,type,axiom_m3: $o).% axiom_m3 undefined 4.31/4.57 tff(declare_axiom_K,type,axiom_K: $o).% axiom_K undefined 4.31/4.57 tff(declare_axiom_4,type,axiom_4: $o).% axiom_4 undefined 4.31/4.57 tff(declare_modus_ponens_strict_implies,type,modus_ponens_strict_implies: $o).% modus_ponens_strict_implies undefined 4.31/4.57 tff(declare_axiom_s2,type,axiom_s2: $o).% axiom_s2 undefined 4.31/4.57 tff(declare_axiom_5,type,axiom_5: $o).% axiom_5 undefined 4.31/4.57 tff(declare_axiom_m1,type,axiom_m1: $o).% axiom_m1 undefined 4.31/4.57 tff(declare_axiom_m4,type,axiom_m4: $o).% axiom_m4 undefined 4.31/4.57 tff(declare_axiom_M,type,axiom_M: $o).% axiom_M undefined 4.31/4.57 tff(declare_axiom_s4,type,axiom_s4: $o).% axiom_s4 undefined 4.31/4.57 tff(declare_necessitation,type,necessitation: $o).% necessitation undefined 4.31/4.57 tff(declare_axiom_m8,type,axiom_m8: $o).% axiom_m8 undefined 4.31/4.57 tff(declare_axiom_B,type,axiom_B: $o).% axiom_B undefined 4.31/4.57 tff(declare_axiom_s3,type,axiom_s3: $o).% axiom_s3 undefined 4.31/4.57 tff(declare_adjunction,type,adjunction: $o).% adjunction undefined 4.31/4.57 tff(declare_axiom_m2,type,axiom_m2: $o).% axiom_m2 undefined 4.31/4.57 tff(declare_op_strict_equiv,type,op_strict_equiv: $o).tff(op_strict_equiv_definition,axiom,op_strict_equiv). 4.31/4.57 tff(declare_op_necessarily,type,op_necessarily: $o).% op_necessarily undefined 4.31/4.57 tff(declare_op_strict_implies,type,op_strict_implies: $o).tff(op_strict_implies_definition,axiom,op_strict_implies). 4.31/4.57 tff(declare_op_possibly,type,op_possibly: $o).tff(op_possibly_definition,axiom,op_possibly). 4.31/4.57 tff(declare_op_implies,type,op_implies: $o).% op_implies undefined 4.31/4.57 tff(declare_substitution_of_equivalents,type,substitution_of_equivalents: $o).% substitution_of_equivalents undefined 4.31/4.57 tff(declare_is_a_theorem,type,is_a_theorem: $i > $o ). 4.31/4.57 tff(predicate_is_a_theorem,axiom, 4.31/4.57 is_a_theorem(fmb_$i_1) 4.31/4.57 & ~is_a_theorem(fmb_$i_2) 4.31/4.57 & ~is_a_theorem(fmb_$i_3) 4.31/4.57 & is_a_theorem(fmb_$i_4) 4.31/4.57 4.31/4.57 ). 4.31/4.57 4.31/4.57 % SZS output end FiniteModel for theBenchmark 4.31/4.57 % ------------------------------ 4.31/4.57 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.31/4.57 % Termination reason: Satisfiable 4.31/4.57 4.31/4.57 % Memory used [KB]: 8571 4.31/4.57 % Time elapsed: 0.043 s 4.31/4.57 % ------------------------------ 4.31/4.57 % ------------------------------ 4.31/4.57 % Success in time 4.322 s 4.31/4.57 EOF