%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT263-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 : Tue Sep 29 11:48:06 AM UTC 2026
% Result : Unsatisfiable 6.96s 1.84s
% Output : Refutation 6.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 35 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3319,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
| c_in(c_Tarski_Olub(X2,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).
fof(f3324,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f3325,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
fof(f3326,axiom,
! [X2,X0,X1] : c_Tarski_Oglb(X0,X1,X2) = c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
fof(f3327,axiom,
! [X0,X1] : c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f3328,plain,
! [X0,X1] : c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),
inference(reorient_equations,[],[f3327]) ).
fof(f3329,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3330,negated_conjecture,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3551,plain,
~ c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a),
inference(definition_unfolding,[],[f3330,f3326]) ).
fof(f4792,plain,
! [X2,X0,X1] :
( ~ c_in(c_Tarski_Olub(X2,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1)
| c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
| c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
inference(consistent_polarity_flipping,[],[f3319]) ).
fof(f4795,plain,
~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(consistent_polarity_flipping,[],[f3324]) ).
fof(f4796,plain,
~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(consistent_polarity_flipping,[],[f3325]) ).
fof(f4797,plain,
c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a),
inference(consistent_polarity_flipping,[],[f3551]) ).
fof(f5063,plain,
! [X2,X0,X1] :
( ~ c_in(c_Tarski_Olub(X2,c_Tarski_Odual(X0,X1),X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1)
| c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
| c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
inference(superposition,[],[f4792,f3328]) ).
fof(f5265,plain,
! [X0] :
( ~ c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
| c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(superposition,[],[f5063,f3318]) ).
fof(f5268,plain,
! [X0] :
( ~ c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(forward_subsumption_resolution,[],[f5265,f4796]) ).
fof(f5269,plain,
! [X0] :
( ~ c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f5268,f4795]) ).
fof(f5286,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(resolution,[],[f5269,f4797]) ).
fof(f5287,plain,
$false,
inference(forward_subsumption_resolution,[],[f5286,f3329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT263-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.48 % Computer : n004.cluster.edu
% 0.20/0.48 % Model : x86_64 x86_64
% 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48 % Memory : 8046.5625MB
% 0.20/0.48 % OS : Linux 6.8.0-71-generic
% 0.20/0.48 % CPULimit : 300
% 0.20/0.48 % WCLimit : 300
% 0.20/0.48 % DateTime : Sun Sep 27 14:08:22 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.54 Running first-order model finding
% 0.24/0.54 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.96/1.83 % (3554920)Will run a generic schedule for satisfiability detection.
% 6.96/1.83 % (3554929)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2744500955:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 6.96/1.83 % (3554926)% WARNING: option uhcvi not known.
% 6.96/1.83 % (3554926)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2267797459:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 6.96/1.83 % (3554925)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3469601191_2998 on theBenchmark for (2998ds/0Mi)
% 6.96/1.83 % (3554927)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3562255513:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 6.96/1.83 % (3554928)dis+10_1_sil=32000:sp=arity:random_seed=1895257129:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 6.96/1.83 % (3554930)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4052103673:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 6.96/1.83 % (3554931)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3789520474:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 6.96/1.83 % (3554929)Instruction limit reached!
% 6.96/1.83 % (3554929)------------------------------
% 6.96/1.83 % (3554929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.83 % (3554929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.83 % (3554929)CaDiCaL version: 2.1.3
% 6.96/1.83 % (3554929)Termination reason: Instruction limit
% 6.96/1.83 % (3554929)Termination phase: Saturation
% 6.96/1.83 % (3554929)Time elapsed: 0.060 s
% 6.96/1.83 % (3554929)Peak memory usage: 15 MB
% 6.96/1.83 % (3554929)Instructions burned: 117 (million)
% 6.96/1.83 % (3554939)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1498330727:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 6.96/1.83 % (3554928)Instruction limit reached!
% 6.96/1.83 % (3554928)------------------------------
% 6.96/1.83 % (3554928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.83 % (3554928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.83 % (3554928)CaDiCaL version: 2.1.3
% 6.96/1.83 % (3554928)Termination reason: Instruction limit
% 6.96/1.83 % (3554928)Termination phase: Saturation
% 6.96/1.83 % (3554928)Time elapsed: 0.110 s
% 6.96/1.83 % (3554928)Peak memory usage: 15 MB
% 6.96/1.83 % (3554928)Instructions burned: 104 (million)
% 6.96/1.83 % (3554930)Instruction limit reached!
% 6.96/1.83 % (3554930)------------------------------
% 6.96/1.83 % (3554930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.83 % (3554930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.83 % (3554930)CaDiCaL version: 2.1.3
% 6.96/1.83 % (3554930)Termination reason: Instruction limit
% 6.96/1.83 % (3554930)Termination phase: Saturation
% 6.96/1.83 % (3554930)Time elapsed: 0.129 s
% 6.96/1.83 % (3554930)Peak memory usage: 16 MB
% 6.96/1.83 % (3554930)Instructions burned: 131 (million)
% 6.96/1.83 % (3554941)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3297436949:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 6.96/1.83 % (3554931)Instruction limit reached!
% 6.96/1.83 % (3554931)------------------------------
% 6.96/1.83 % (3554931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.83 % (3554931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.83 % (3554931)CaDiCaL version: 2.1.3
% 6.96/1.83 % (3554931)Termination reason: Instruction limit
% 6.96/1.83 % (3554931)Termination phase: Saturation
% 6.96/1.83 % (3554931)Time elapsed: 0.166 s
% 6.96/1.83 % (3554931)Peak memory usage: 16 MB
% 6.96/1.83 % (3554931)Instructions burned: 159 (million)
% 6.96/1.83 % (3554942)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3994480469:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2996 on theBenchmark for (2996ds/684Mi)
% 6.96/1.83 % (3554945)ott-21_1_sil=16000:fs=off:random_seed=3513340395:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 6.96/1.83 % (3554941)Instruction limit reached!
% 6.96/1.83 % (3554941)------------------------------
% 6.96/1.83 % (3554941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.83 % (3554941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.83 % (3554941)CaDiCaL version: 2.1.3
% 6.96/1.84 % (3554941)Termination reason: Instruction limit
% 6.96/1.84 % (3554941)Termination phase: Saturation
% 6.96/1.84 % (3554941)Time elapsed: 0.158 s
% 6.96/1.84 % (3554941)Peak memory usage: 16 MB
% 6.96/1.84 % (3554941)Instructions burned: 132 (million)
% 6.96/1.84 % TRYING [1]
% 6.96/1.84 % TRYING [2]
% 6.96/1.84 % (3554947)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2391454460:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 6.96/1.84 % (3554939)Instruction limit reached!
% 6.96/1.84 % (3554939)------------------------------
% 6.96/1.84 % (3554939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.84 % (3554939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.84 % (3554939)CaDiCaL version: 2.1.3
% 6.96/1.84 % (3554939)Termination reason: Instruction limit
% 6.96/1.84 % (3554939)Termination phase: Finite model building constraint generation
% 6.96/1.84 % (3554939)Time elapsed: 0.325 s
% 6.96/1.84 % (3554939)Peak memory usage: 26 MB
% 6.96/1.84 % (3554939)Instructions burned: 716 (million)
% 6.96/1.84 % (3554945)Instruction limit reached!
% 6.96/1.84 % (3554945)------------------------------
% 6.96/1.84 % (3554945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.84 % (3554945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.84 % (3554945)CaDiCaL version: 2.1.3
% 6.96/1.84 % (3554945)Termination reason: Instruction limit
% 6.96/1.84 % (3554945)Termination phase: Saturation
% 6.96/1.84 % (3554945)Time elapsed: 0.187 s
% 6.96/1.84 % (3554945)Peak memory usage: 15 MB
% 6.96/1.84 % (3554945)Instructions burned: 180 (million)
% 6.96/1.84 % (3554949)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4285643373:fmbsr=1.3:i=865:ins=25_2994 on theBenchmark for (2994ds/865Mi)
% 6.96/1.84 % (3554950)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2041392000:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 6.96/1.84 % TRYING [1]
% 6.96/1.84 % TRYING [2]
% 6.96/1.84 % TRYING [1]
% 6.96/1.84 % (3554949)Instruction limit reached!
% 6.96/1.84 % (3554949)------------------------------
% 6.96/1.84 % (3554949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.84 % (3554949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.84 % (3554949)CaDiCaL version: 2.1.3
% 6.96/1.84 % (3554949)Termination reason: Instruction limit
% 6.96/1.84 % (3554949)Termination phase: Finite model building constraint generation
% 6.96/1.84 % (3554949)Time elapsed: 0.422 s
% 6.96/1.84 % (3554949)Peak memory usage: 50 MB
% 6.96/1.84 % (3554949)Instructions burned: 867 (million)
% 6.96/1.84 % (3554942)Instruction limit reached!
% 6.96/1.84 % (3554942)------------------------------
% 6.96/1.84 % (3554942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.84 % (3554942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.84 % (3554942)CaDiCaL version: 2.1.3
% 6.96/1.84 % (3554942)Termination reason: Instruction limit
% 6.96/1.84 % (3554942)Termination phase: Saturation
% 6.96/1.84 % (3554942)Time elapsed: 0.693 s
% 6.96/1.84 % (3554942)Peak memory usage: 18 MB
% 6.96/1.84 % (3554942)Instructions burned: 684 (million)
% 6.96/1.84 % (3554954)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1275755726:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2989 on theBenchmark for (2989ds/692Mi)
% 6.96/1.84 % (3554953)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3005878353:i=889:ins=1_2989 on theBenchmark for (2989ds/889Mi)
% 6.96/1.84 % (3554947)Instruction limit reached!
% 6.96/1.84 % (3554947)------------------------------
% 6.96/1.84 % (3554947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.84 % (3554947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.84 % (3554947)CaDiCaL version: 2.1.3
% 6.96/1.84 % (3554947)Termination reason: Instruction limit
% 6.96/1.84 % (3554947)Termination phase: Saturation
% 6.96/1.84 % (3554947)Time elapsed: 0.536 s
% 6.96/1.84 % (3554947)Peak memory usage: 17 MB
% 6.96/1.84 % (3554947)Instructions burned: 478 (million)
% 6.96/1.84 % (3554957)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4277734017:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 6.96/1.84 % (3554954) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3554920-3554954"...
% 6.96/1.84 % (3554954)...printing done.
% 6.96/1.84 % (3554954)Refutation found. Thanks to Tanya!
% 6.96/1.84 % SZS status Unsatisfiable for theBenchmark
% 6.96/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 6.96/1.84 % (3554954)------------------------------
% 6.96/1.84 % (3554954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.84 % (3554954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.84 % (3554954)CaDiCaL version: 2.1.3
% 6.96/1.84 % (3554954)Termination reason: Refutation
% 6.96/1.84 % (3554954)Time elapsed: 0.182 s
% 6.96/1.84 % (3554954)Peak memory usage: 17 MB
% 6.96/1.84 % (3554954)Instructions burned: 175 (million)
% 6.96/1.84 % (3554920)Success in time 1.284 s
% 6.96/1.84 % Vampire exiting
%------------------------------------------------------------------------------