%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT263-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:46:25 AM UTC 2026
% Result : Unsatisfiable 3.56s 1.55s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 28 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 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 : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3319,axiom,
! [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)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3331,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(f3361,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,[],[f3319,f3328]) ).
fof(f3371,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,[],[f3361,f3318]) ).
fof(f3374,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,[],[f3371,f3325]) ).
fof(f3375,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,[],[f3374,f3324]) ).
fof(f3376,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(resolution,[],[f3375,f3331]) ).
fof(f3377,plain,
$false,
inference(forward_subsumption_resolution,[],[f3376,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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n010.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 14:08:47 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.56/1.55 % (999578)Input is clausal, will run a generic CNF schedule.
% 3.56/1.55 % (999583)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=332001333:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.55 % (999586)lrs+10_1_sil=8000:sp=occurrence:random_seed=4069752110:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.55 % (999587)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2945406316:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.55 % (999589)dis-21_1_sil=8000:lcm=predicate:random_seed=3589733607:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.56/1.55 % (999584)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2148973498:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.55 % (999586)First to succeed.
% 3.56/1.55 % (999586)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-999578"
% 3.56/1.55 % (999585)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3824492308:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.55 % (999588)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1983114559:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.55 % (999589)Instruction limit reached!
% 3.56/1.55 % (999589)------------------------------
% 3.56/1.55 % (999589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.55 % (999589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.55 % (999589)CaDiCaL version: 2.1.3
% 3.56/1.55 % (999589)Termination reason: Instruction limit
% 3.56/1.55 % (999589)Termination phase: Saturation
% 3.56/1.55 % (999589)Time elapsed: 0.066 s
% 3.56/1.55 % (999589)Peak memory usage: 91 MB
% 3.56/1.55 % (999589)Instructions burned: 117 (million)
% 3.56/1.55 % (999588)Also succeeded, but the first one will report.
% 3.56/1.55 % (999587)Instruction limit reached!
% 3.56/1.55 % (999587)------------------------------
% 3.56/1.55 % (999587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.55 % (999587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.55 % (999587)CaDiCaL version: 2.1.3
% 3.56/1.55 % (999587)Termination reason: Instruction limit
% 3.56/1.55 % (999587)Termination phase: Saturation
% 3.56/1.55 % (999587)Time elapsed: 0.072 s
% 3.56/1.55 % (999587)Peak memory usage: 90 MB
% 3.56/1.55 % (999587)Instructions burned: 116 (million)
% 3.56/1.55 % (999598)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2810809503:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.56/1.55 % (999597)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=13485449:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.56/1.55 % (999597)Refutation not found, incomplete strategy
% 3.56/1.55 % (999597)------------------------------
% 3.56/1.55 % (999597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.55 % (999597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.55 % (999597)CaDiCaL version: 2.1.3
% 3.56/1.55 % (999597)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.55 % (999597)Time elapsed: 0.007 s
% 3.56/1.55 % (999597)Peak memory usage: 90 MB
% 3.56/1.55 % (999597)Instructions burned: 8 (million)
% 3.56/1.55 % (999586)Refutation found. Thanks to Tanya!
% 3.56/1.55 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.55 % (999586)------------------------------
% 3.56/1.55 % (999586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.55 % (999586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.55 % (999586)CaDiCaL version: 2.1.3
% 3.56/1.55 % (999586)Termination reason: Refutation
% 3.56/1.55 % (999586)Time elapsed: 0.009 s
% 3.56/1.55 % (999586)Peak memory usage: 90 MB
% 3.56/1.55 % (999586)Instructions burned: 11 (million)
% 3.56/1.55 % (999586)------------------------------
% 3.56/1.55 % (999586)------------------------------
% 3.56/1.55 % (999578)Success in time 0.49 s
% 3.56/1.55 % Vampire exiting
%------------------------------------------------------------------------------