%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n005.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 11:48:10 AM UTC 2026
% Result : Unsatisfiable 0.16s 1.70s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 22 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 13 ( 13 !; 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_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
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(f4619,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X3,X0,X2)
| c_Relation_Orefl(X0,X1,X2)
| c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)) ),
inference(consistent_polarity_flipping,[],[f3318]) ).
fof(f4620,plain,
! [X0,X1] :
( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
inference(consistent_polarity_flipping,[],[f3320]) ).
fof(f12778,plain,
~ c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,[],[f4620,f3324]) ).
fof(f12779,plain,
~ c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a),
inference(forward_demodulation,[],[f12778,f3325]) ).
fof(f12788,plain,
~ c_Relation_Orefl(v_A,v_r,t_a),
inference(forward_demodulation,[],[f12779,f3319]) ).
fof(f15079,plain,
! [X0] :
( c_in(c_Pair(v_x,v_x,t_a,t_a),X0,tc_prod(t_a,t_a))
| c_Relation_Orefl(v_A,X0,t_a) ),
inference(resolution,[],[f4619,f3326]) ).
fof(f16583,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(resolution,[],[f15079,f3327]) ).
fof(f35491,plain,
$false,
inference(forward_subsumption_resolution,[],[f12788,f16583]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:09:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 6.65/1.69 % (4025394)Will run a generic schedule for satisfiability detection.
% 6.65/1.69 % (4025404)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2028519683:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 6.65/1.69 % (4025400)% WARNING: option uhcvi not known.
% 6.65/1.69 % (4025399)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1751815067_2998 on theBenchmark for (2998ds/0Mi)
% 6.65/1.69 % (4025402)dis+10_1_sil=32000:sp=arity:random_seed=3708699302:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 6.65/1.69 % (4025401)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=791267266:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 6.65/1.69 % (4025400)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4178565961:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 6.65/1.69 % (4025403)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2387578845:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 6.65/1.69 % (4025405)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3160780197:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 6.65/1.69 % (4025404)Instruction limit reached!
% 6.65/1.69 % (4025404)------------------------------
% 6.65/1.69 % (4025404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.69 % (4025404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.69 % (4025404)CaDiCaL version: 2.1.3
% 6.65/1.69 % (4025404)Termination reason: Instruction limit
% 6.65/1.69 % (4025404)Termination phase: Saturation
% 6.65/1.69 % (4025404)Time elapsed: 0.072 s
% 6.65/1.69 % (4025404)Peak memory usage: 16 MB
% 6.65/1.69 % (4025404)Instructions burned: 131 (million)
% 6.65/1.69 % (4025402)Instruction limit reached!
% 6.65/1.69 % (4025402)------------------------------
% 6.65/1.69 % (4025402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.69 % (4025402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.69 % (4025402)CaDiCaL version: 2.1.3
% 6.65/1.69 % (4025402)Termination reason: Instruction limit
% 6.65/1.69 % (4025402)Termination phase: Saturation
% 6.65/1.69 % (4025402)Time elapsed: 0.112 s
% 6.65/1.69 % (4025402)Peak memory usage: 15 MB
% 6.65/1.69 % (4025402)Instructions burned: 103 (million)
% 6.65/1.69 % (4025413)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1757012846:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 6.65/1.69 % (4025403)Instruction limit reached!
% 6.65/1.69 % (4025403)------------------------------
% 6.65/1.69 % (4025403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.69 % (4025403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.69 % (4025403)CaDiCaL version: 2.1.3
% 6.65/1.69 % (4025403)Termination reason: Instruction limit
% 6.65/1.69 % (4025403)Termination phase: Saturation
% 6.65/1.69 % (4025403)Time elapsed: 0.119 s
% 6.65/1.69 % (4025403)Peak memory usage: 16 MB
% 6.65/1.69 % (4025403)Instructions burned: 116 (million)
% 6.65/1.69 % (4025415)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3290983588:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 6.65/1.69 % (4025416)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=619536329:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2996 on theBenchmark for (2996ds/684Mi)
% 6.65/1.69 % (4025405)Instruction limit reached!
% 6.65/1.69 % (4025405)------------------------------
% 6.65/1.69 % (4025405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.69 % (4025405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.69 % (4025405)CaDiCaL version: 2.1.3
% 6.65/1.69 % (4025405)Termination reason: Instruction limit
% 6.65/1.69 % (4025405)Termination phase: Saturation
% 6.65/1.69 % (4025405)Time elapsed: 0.164 s
% 6.65/1.69 % (4025405)Peak memory usage: 16 MB
% 6.65/1.69 % (4025405)Instructions burned: 159 (million)
% 6.65/1.69 % (4025419)ott-21_1_sil=16000:fs=off:random_seed=207329099:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 6.65/1.69 % (4025419)Instruction limit reached!
% 6.65/1.69 % (4025419)------------------------------
% 6.65/1.69 % (4025419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.69 % (4025419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.69 % (4025419)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025419)Termination reason: Instruction limit
% 0.16/1.70 % (4025419)Termination phase: Saturation
% 0.16/1.70 % (4025419)Time elapsed: 0.059 s
% 0.16/1.70 % (4025419)Peak memory usage: 16 MB
% 0.16/1.70 % (4025419)Instructions burned: 181 (million)
% 0.16/1.70 % (4025421)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1472261679:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 0.16/1.70 % (4025415)Instruction limit reached!
% 0.16/1.70 % (4025415)------------------------------
% 0.16/1.70 % (4025415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.70 % (4025415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (4025415)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025415)Termination reason: Instruction limit
% 0.16/1.70 % (4025415)Termination phase: Saturation
% 0.16/1.70 % (4025415)Time elapsed: 0.135 s
% 0.16/1.70 % (4025415)Peak memory usage: 16 MB
% 0.16/1.70 % (4025415)Instructions burned: 131 (million)
% 0.16/1.70 % (4025423)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2555294182:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 0.16/1.70 % TRYING [1]
% 0.16/1.70 % (4025421)Instruction limit reached!
% 0.16/1.70 % (4025421)------------------------------
% 0.16/1.70 % (4025421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.70 % (4025421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (4025421)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025421)Termination reason: Instruction limit
% 0.16/1.70 % (4025421)Termination phase: Saturation
% 0.16/1.70 % (4025421)Time elapsed: 0.286 s
% 0.16/1.70 % (4025421)Peak memory usage: 17 MB
% 0.16/1.70 % (4025421)Instructions burned: 479 (million)
% 0.16/1.70 % TRYING [2]
% 0.16/1.70 % (4025425)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1267903446:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 0.16/1.70 % TRYING [1]
% 0.16/1.70 % TRYING [2]
% 0.16/1.70 % (4025413)Instruction limit reached!
% 0.16/1.70 % (4025413)------------------------------
% 0.16/1.70 % (4025413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.70 % (4025413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (4025413)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025413)Termination reason: Instruction limit
% 0.16/1.70 % (4025413)Termination phase: Finite model building constraint generation
% 0.16/1.70 % (4025413)Time elapsed: 0.525 s
% 0.16/1.70 % (4025413)Peak memory usage: 26 MB
% 0.16/1.70 % (4025413)Instructions burned: 715 (million)
% 0.16/1.70 % (4025427)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=637866081:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 0.16/1.70 % (4025416)Instruction limit reached!
% 0.16/1.70 % (4025416)------------------------------
% 0.16/1.70 % (4025416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.70 % (4025416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (4025416)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025416)Termination reason: Instruction limit
% 0.16/1.70 % (4025416)Termination phase: Saturation
% 0.16/1.70 % (4025416)Time elapsed: 0.593 s
% 0.16/1.70 % (4025416)Peak memory usage: 18 MB
% 0.16/1.70 % (4025416)Instructions burned: 685 (million)
% 0.16/1.70 % TRYING [1]
% 0.16/1.70 % (4025429)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=316442699:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2990 on theBenchmark for (2990ds/692Mi)
% 0.16/1.70 % (4025423)Instruction limit reached!
% 0.16/1.70 % (4025423)------------------------------
% 0.16/1.70 % (4025423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.70 % (4025423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (4025423)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025423)Termination reason: Instruction limit
% 0.16/1.70 % (4025423)Termination phase: Finite model building constraint generation
% 0.16/1.70 % (4025423)Time elapsed: 0.542 s
% 0.16/1.70 % (4025423)Peak memory usage: 49 MB
% 0.16/1.70 % (4025423)Instructions burned: 867 (million)
% 0.16/1.70 % (4025431)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1623431782:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 0.16/1.70 % (4025427)Cannot represent all propositional literals internally
% 0.16/1.70 % (4025427)Refutation not found, incomplete strategy
% 0.16/1.70 % (4025427)------------------------------
% 0.16/1.70 % (4025427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.70 % (4025427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (4025427)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025427)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.70 % (4025427)Time elapsed: 0.285 s
% 0.16/1.70 % (4025427)Peak memory usage: 23 MB
% 0.16/1.70 % (4025427)Instructions burned: 569 (million)
% 0.16/1.70 % (4025427)------------------------------
% 0.16/1.70 % (4025427)------------------------------
% 0.16/1.70 % (4025433)fmb+10_1_sil=64000:random_seed=1516124460:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 0.16/1.70 % (4025425)Instruction limit reached!
% 0.16/1.70 % (4025425)------------------------------
% 0.16/1.70 % (4025425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.70 % (4025425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (4025425)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025425)Termination reason: Instruction limit
% 0.16/1.70 % (4025425)Termination phase: Saturation
% 0.16/1.70 % (4025425)Time elapsed: 0.422 s
% 0.16/1.70 % (4025425)Peak memory usage: 26 MB
% 0.16/1.70 % (4025425)Instructions burned: 1182 (million)
% 0.16/1.70 % (4025435)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4116371565:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 0.16/1.70 % (4025400) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4025394-4025400"...
% 0.16/1.70 % (4025400)...printing done.
% 0.16/1.70 % (4025400)Refutation found. Thanks to Tanya!
% 0.16/1.70 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.70 % (4025400)------------------------------
% 0.16/1.70 % (4025400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/1.70 % (4025400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70 % (4025400)CaDiCaL version: 2.1.3
% 0.16/1.70 % (4025400)Termination reason: Refutation
% 0.16/1.70 % (4025400)Time elapsed: 1.074 s
% 0.16/1.70 % (4025400)Peak memory usage: 26 MB
% 0.16/1.70 % (4025400)Instructions burned: 1262 (million)
% 0.16/1.70 % (4025394)Success in time 1.279 s
% 0.16/1.70 % Vampire exiting
%------------------------------------------------------------------------------