%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT259-1 : 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 : n016.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 11:46:24 AM UTC 2026
% Result : Unsatisfiable 6.07s 2.10s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 24 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,axiom,
! [X2,X3,X0,X1] :
( ~ c_Relation_Oantisym(X0,X1)
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))
| X3 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oantisym__def_0) ).
fof(f3319,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_Relation_Oantisym(X0,X1)
| X2 = X3 ),
inference(reorient_equations,[],[f3318]) ).
fof(f3325,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).
fof(f3328,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f3329,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f3330,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3331,negated_conjecture,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3332,negated_conjecture,
v_a != v_b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3333,plain,
c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,[],[f3325,f3328]) ).
fof(f3334,plain,
c_Relation_Oantisym(v_r,t_a),
inference(forward_demodulation,[],[f3333,f3329]) ).
fof(f3353,plain,
( ~ c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Relation_Oantisym(v_r,t_a)
| v_a = v_b ),
inference(resolution,[],[f3319,f3331]) ).
fof(f3356,plain,
( ~ c_Relation_Oantisym(v_r,t_a)
| v_a = v_b ),
inference(forward_subsumption_resolution,[],[f3353,f3330]) ).
fof(f3358,plain,
v_a = v_b,
inference(forward_subsumption_resolution,[],[f3356,f3334]) ).
fof(f3360,plain,
$false,
inference(forward_subsumption_resolution,[],[f3358,f3332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT259-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n016.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 27 14:13:32 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.47 Running first-order theorem proving
% 0.27/0.47 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
% 6.07/2.10 % (2680430)Input is clausal, will run a generic CNF schedule.
% 6.07/2.10 % (2680436)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2949965116:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.07/2.10 % (2680440)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1063403068:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.07/2.10 % (2680435)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=997406691:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.07/2.10 % (2680438)lrs+10_1_sil=8000:sp=occurrence:random_seed=3609486762:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.07/2.10 % (2680437)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2820275768:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.07/2.10 % (2680438)First to succeed.
% 6.07/2.10 % (2680438)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2680430"
% 6.07/2.10 % (2680439)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2281767012:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.07/2.10 % (2680441)dis-21_1_sil=8000:lcm=predicate:random_seed=3378839858: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)
% 6.07/2.10 % (2680440)Also succeeded, but the first one will report.
% 6.07/2.10 % (2680441)Instruction limit reached!
% 6.07/2.10 % (2680441)------------------------------
% 6.07/2.10 % (2680441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/2.10 % (2680441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/2.10 % (2680441)CaDiCaL version: 2.1.3
% 6.07/2.10 % (2680441)Termination reason: Instruction limit
% 6.07/2.10 % (2680441)Termination phase: Saturation
% 6.07/2.10 % (2680441)Time elapsed: 0.119 s
% 6.07/2.10 % (2680441)Peak memory usage: 91 MB
% 6.07/2.10 % (2680441)Instructions burned: 117 (million)
% 6.07/2.10 % (2680439)Instruction limit reached!
% 6.07/2.10 % (2680439)------------------------------
% 6.07/2.10 % (2680439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/2.10 % (2680439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/2.10 % (2680439)CaDiCaL version: 2.1.3
% 6.07/2.10 % (2680439)Termination reason: Instruction limit
% 6.07/2.10 % (2680439)Termination phase: Saturation
% 6.07/2.10 % (2680439)Time elapsed: 0.119 s
% 6.07/2.10 % (2680439)Peak memory usage: 90 MB
% 6.07/2.10 % (2680439)Instructions burned: 114 (million)
% 6.07/2.10 % (2680450)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1572674690:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2994 on theBenchmark for (2994ds/189Mi)
% 6.07/2.10 % (2680438)Refutation found. Thanks to Tanya!
% 6.07/2.10 % SZS status Unsatisfiable for theBenchmark
% 6.07/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 6.07/2.10 % (2680438)------------------------------
% 6.07/2.10 % (2680438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/2.10 % (2680438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/2.10 % (2680438)CaDiCaL version: 2.1.3
% 6.07/2.10 % (2680438)Termination reason: Refutation
% 6.07/2.10 % (2680438)Time elapsed: 0.013 s
% 6.07/2.10 % (2680438)Peak memory usage: 89 MB
% 6.07/2.10 % (2680438)Instructions burned: 9 (million)
% 6.07/2.10 % (2680438)------------------------------
% 6.07/2.10 % (2680438)------------------------------
% 6.07/2.10 % (2680430)Success in time 0.802 s
% 6.07/2.10 % Vampire exiting
%------------------------------------------------------------------------------