%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT277-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:46:29 AM UTC 2026
% Result : Unsatisfiable 3.81s 1.63s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 18 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,axiom,
! [X2,X3,X0,X1] :
( ~ c_Relation_Orefl(X0,X1,X2)
| ~ c_in(X3,X0,X2)
| c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OreflD_0) ).
fof(f3319,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(f3320,axiom,
! [X0,X1] :
( c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
fof(f3324,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f3325,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f3326,negated_conjecture,
c_in(v_x,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3327,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3339,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a)
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(superposition,[],[f3320,f3325]) ).
fof(f3342,plain,
c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a),
inference(forward_subsumption_resolution,[],[f3339,f3324]) ).
fof(f3345,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(forward_demodulation,[],[f3342,f3319]) ).
fof(f3348,plain,
! [X0] :
( c_in(c_Pair(X0,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a) ),
inference(resolution,[],[f3345,f3318]) ).
fof(f3358,plain,
~ c_in(v_x,v_A,t_a),
inference(resolution,[],[f3348,f3327]) ).
fof(f3359,plain,
$false,
inference(forward_subsumption_resolution,[],[f3358,f3326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT277-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:13:00 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/1.63 % (1705976)Input is clausal, will run a generic CNF schedule.
% 3.81/1.63 % (1706061)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=849416010:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.81/1.63 % (1706061)Instruction limit reached!
% 3.81/1.63 % (1706061)------------------------------
% 3.81/1.63 % (1706061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.63 % (1706061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.63 % (1706061)CaDiCaL version: 2.1.3
% 3.81/1.63 % (1706061)Termination reason: Instruction limit
% 3.81/1.63 % (1706061)Termination phase: Saturation
% 3.81/1.63 % (1706061)Time elapsed: 0.040 s
% 3.81/1.63 % (1706061)Peak memory usage: 90 MB
% 3.81/1.63 % (1706061)Instructions burned: 115 (million)
% 3.81/1.63 % (1706058)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1537854667:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.81/1.63 % (1706059)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3752546290:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.81/1.63 % (1706057)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=65049523:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.81/1.63 % (1706060)lrs+10_1_sil=8000:sp=occurrence:random_seed=2478526813:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.81/1.63 % (1706060)First to succeed.
% 3.81/1.63 % (1706060)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1705976"
% 3.81/1.63 % (1706063)dis-21_1_sil=8000:lcm=predicate:random_seed=115691882: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)
% 3.81/1.63 % (1706062)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4100145221:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.81/1.63 % (1706062)Also succeeded, but the first one will report.
% 3.81/1.63 % (1706063)Instruction limit reached!
% 3.81/1.63 % (1706063)------------------------------
% 3.81/1.63 % (1706063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.63 % (1706063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.63 % (1706063)CaDiCaL version: 2.1.3
% 3.81/1.63 % (1706063)Termination reason: Instruction limit
% 3.81/1.63 % (1706063)Termination phase: Saturation
% 3.81/1.63 % (1706063)Time elapsed: 0.069 s
% 3.81/1.63 % (1706063)Peak memory usage: 91 MB
% 3.81/1.63 % (1706063)Instructions burned: 118 (million)
% 3.81/1.63 % (1706102)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=2926545100:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.81/1.63 % (1706102)Refutation not found, incomplete strategy
% 3.81/1.63 % (1706102)------------------------------
% 3.81/1.63 % (1706102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.63 % (1706102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.63 % (1706102)CaDiCaL version: 2.1.3
% 3.81/1.63 % (1706102)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.63 % (1706102)Time elapsed: 0.004 s
% 3.81/1.63 % (1706102)Peak memory usage: 89 MB
% 3.81/1.63 % (1706102)Instructions burned: 8 (million)
% 3.81/1.63 % (1706121)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1647063991:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 3.81/1.63 % (1706060)Refutation found. Thanks to Tanya!
% 3.81/1.63 % SZS status Unsatisfiable for theBenchmark
% 3.81/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.63 % (1706060)------------------------------
% 3.81/1.63 % (1706060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.63 % (1706060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.63 % (1706060)CaDiCaL version: 2.1.3
% 3.81/1.63 % (1706060)Termination reason: Refutation
% 3.81/1.63 % (1706060)Time elapsed: 0.008 s
% 3.81/1.63 % (1706060)Peak memory usage: 90 MB
% 3.81/1.63 % (1706060)Instructions burned: 9 (million)
% 3.81/1.63 % (1706060)------------------------------
% 3.81/1.63 % (1706060)------------------------------
% 3.81/1.63 % (1705976)Success in time 0.492 s
% 3.81/1.63 % Vampire exiting
%------------------------------------------------------------------------------