%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT273-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 11:48:09 AM UTC 2026
% Result : Unsatisfiable 0.87s 0.62s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 18 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(X2,v_A,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X0,v_r,X2),X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X2),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f3338,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3339,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3342,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3345,negated_conjecture,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3691,plain,
! [X0] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(resolution,[],[f10,f3339]) ).
fof(f3696,plain,
! [X0] :
( c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a) ),
inference(resolution,[],[f14,f3342]) ).
fof(f3697,plain,
( ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f3696,f3345]) ).
fof(f3698,plain,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(forward_subsumption_resolution,[],[f3697,f3338]) ).
fof(f3782,plain,
! [X0,X1] :
( ~ c_in(v_b,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f15,f3691]) ).
fof(f3783,plain,
! [X0,X1] :
( ~ c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a)
| c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a) ),
inference(forward_subsumption_resolution,[],[f3782,f3338]) ).
fof(f3788,plain,
! [X0] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a) ),
inference(resolution,[],[f3783,f3698]) ).
fof(f3794,plain,
~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(resolution,[],[f3788,f3345]) ).
fof(f3798,plain,
$false,
inference(forward_subsumption_resolution,[],[f3794,f3342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT273-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n003.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 14:11:11 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/0.62 % (562542)Will run a generic schedule for satisfiability detection.
% 0.87/0.62 % (562559)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3475844881:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.87/0.62 % (562554)% WARNING: option uhcvi not known.
% 0.87/0.62 % (562553)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1175267905_2999 on theBenchmark for (2999ds/0Mi)
% 0.87/0.62 % (562554)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2115135123:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.87/0.62 % (562556)dis+10_1_sil=32000:sp=arity:random_seed=634936366:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.87/0.62 % (562555)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=416779136:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.87/0.62 % (562557)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1511960392:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.87/0.62 % (562558)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3128344629:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.62 % (562559)Instruction limit reached!
% 0.87/0.62 % (562559)------------------------------
% 0.87/0.62 % (562559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (562559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (562559)CaDiCaL version: 2.1.3
% 0.87/0.62 % (562559)Termination reason: Instruction limit
% 0.87/0.62 % (562559)Termination phase: Saturation
% 0.87/0.62 % (562559)Time elapsed: 0.051 s
% 0.87/0.62 % (562559)Peak memory usage: 16 MB
% 0.87/0.62 % (562559)Instructions burned: 161 (million)
% 0.87/0.62 % (562567)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2636061557:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.87/0.62 % (562556)Instruction limit reached!
% 0.87/0.62 % (562556)------------------------------
% 0.87/0.62 % (562556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (562556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (562556)CaDiCaL version: 2.1.3
% 0.87/0.62 % (562556)Termination reason: Instruction limit
% 0.87/0.62 % (562556)Termination phase: Saturation
% 0.87/0.62 % (562556)Time elapsed: 0.060 s
% 0.87/0.62 % (562556)Peak memory usage: 15 MB
% 0.87/0.62 % (562556)Instructions burned: 103 (million)
% 0.87/0.62 % (562557)Instruction limit reached!
% 0.87/0.62 % (562557)------------------------------
% 0.87/0.62 % (562557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (562557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (562557)CaDiCaL version: 2.1.3
% 0.87/0.62 % (562557)Termination reason: Instruction limit
% 0.87/0.62 % (562557)Termination phase: Saturation
% 0.87/0.62 % (562557)Time elapsed: 0.062 s
% 0.87/0.62 % (562557)Peak memory usage: 15 MB
% 0.87/0.62 % (562557)Instructions burned: 117 (million)
% 0.87/0.62 % (562558)Instruction limit reached!
% 0.87/0.62 % (562558)------------------------------
% 0.87/0.62 % (562558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (562558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (562558)CaDiCaL version: 2.1.3
% 0.87/0.62 % (562558)Termination reason: Instruction limit
% 0.87/0.62 % (562558)Termination phase: Saturation
% 0.87/0.62 % (562558)Time elapsed: 0.076 s
% 0.87/0.62 % (562558)Peak memory usage: 16 MB
% 0.87/0.62 % (562558)Instructions burned: 132 (million)
% 0.87/0.62 % (562569)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3778151217:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.87/0.62 % (562570)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=492245684:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.87/0.62 % (562571)ott-21_1_sil=16000:fs=off:random_seed=1462559054:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.87/0.62 % (562570) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-562542-562570"...
% 0.87/0.62 % (562570)...printing done.
% 0.87/0.62 % (562570)Refutation found. Thanks to Tanya!
% 0.87/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.87/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.87/0.62 % (562570)------------------------------
% 0.87/0.62 % (562570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (562570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (562570)CaDiCaL version: 2.1.3
% 0.87/0.62 % (562570)Termination reason: Refutation
% 0.87/0.62 % (562570)Time elapsed: 0.044 s
% 0.87/0.62 % (562570)Peak memory usage: 15 MB
% 0.87/0.62 % (562570)Instructions burned: 79 (million)
% 0.87/0.62 % (562542)Success in time 0.197 s
% 0.87/0.62 % Vampire exiting
%------------------------------------------------------------------------------