%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT276-2 : 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 : n006.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 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 69 ( 12 unt; 6 def)
% Number of atoms : 158 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 164 ( 75 ~; 83 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f3,negated_conjecture,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f5,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f6,negated_conjecture,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f8,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(f9,axiom,
! [X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X0,X1,v_r),X1,t_a)
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f10,axiom,
! [X0,X1] :
( ~ c_in(c_Pair(v_sko__4mP(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a)
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f11,axiom,
! [X0,X1] :
( c_in(c_Pair(X0,c_Tarski_Olub(X1,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,X1,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f12,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(f13,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(reorient_equations,[],[f12]) ).
fof(f15,definition,
( spl0_1
<=> c_in(v_xa,v_S,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f17,plain,
( c_in(v_xa,v_S,t_a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl0_2
<=> ! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f20,plain,
( ! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f21,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f19,f15]) ).
fof(f23,definition,
( spl0_3
<=> c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f25,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| spl0_3 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f27,definition,
( spl0_4
<=> c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f29,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| spl0_4 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f30,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f27,f23]) ).
fof(f31,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4,f27,f15]) ).
fof(f33,definition,
( spl0_5
<=> c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f34,plain,
( ~ c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| spl0_5 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f35,plain,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f36,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f3,f33,f15]) ).
fof(f37,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f2,f19,f23]) ).
fof(f39,plain,
( c_in(v_xa,v_A,t_a)
| ~ spl0_5 ),
inference(superposition,[],[f35,f8]) ).
fof(f40,plain,
( ! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f20,f13]) ).
fof(f41,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_4 ),
inference(superposition,[],[f29,f13]) ).
fof(f42,plain,
! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(X0,v_A,t_a) ),
inference(resolution,[],[f7,f1]) ).
fof(f44,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a)
| spl0_4 ),
inference(resolution,[],[f9,f41]) ).
fof(f45,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f44,f1]) ).
fof(f46,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f45,f39]) ).
fof(f49,plain,
( ! [X0] :
( ~ c_in(v_xa,v_A,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mP(v_xa,X0,v_r),v_S,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f10,f40]) ).
fof(f50,plain,
( ! [X0] :
( c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(v_sko__4mP(v_xa,X0,v_r),v_S,t_a) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f49,f39]) ).
fof(f53,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f50,f41]) ).
fof(f54,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f53,f1]) ).
fof(f55,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f54,f46]) ).
fof(f56,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f57,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_3 ),
inference(forward_demodulation,[],[f25,f13]) ).
fof(f58,plain,
( c_in(v_xa,v_A,t_a)
| ~ spl0_1 ),
inference(resolution,[],[f17,f42]) ).
fof(f59,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_S,t_a)
| spl0_3 ),
inference(resolution,[],[f57,f11]) ).
fof(f60,plain,
( ~ c_in(v_xa,v_S,t_a)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f59,f1]) ).
fof(f61,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f60,f17]) ).
fof(f62,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f65,plain,
( ~ c_in(v_xa,v_A,t_a)
| spl0_5 ),
inference(forward_demodulation,[],[f34,f8]) ).
fof(f67,definition,
( spl0_6
<=> c_in(v_xa,v_A,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f58,f15,f67]) ).
fof(f76,plain,
( ~ spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f65,f33,f67]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f30]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f31]) ).
cnf(s4,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f36]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f37]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f56]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f62]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f75]) ).
cnf(s10,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f76]) ).
cnf(s11,plain,
spl0_1,
inference(rat,[],[s6,s1,s3,s4]) ).
cnf(s12,plain,
spl0_6,
inference(rat,[],[s9,s11]) ).
cnf(s13,plain,
spl0_3,
inference(rat,[],[s7,s11]) ).
cnf(s14,plain,
spl0_5,
inference(rat,[],[s10,s12]) ).
cnf(s15,plain,
spl0_2,
inference(rat,[],[s5,s13]) ).
cnf(s16,plain,
~ spl0_4,
inference(rat,[],[s2,s13]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s6,s14,s16,s15]) ).
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n006.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 14:09:25 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.18/0.46 % (3009769)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (3009781)dis+10_1_sil=32000:sp=arity:random_seed=3124829149:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.46 % (3009781) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3009769-3009781"...
% 0.18/0.46 % (3009781)...printing done.
% 0.18/0.46 % (3009779)% WARNING: option uhcvi not known.
% 0.18/0.46 % (3009781)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3009781)------------------------------
% 0.18/0.47 % (3009781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3009781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3009781)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3009781)Termination reason: Refutation
% 0.18/0.47 % (3009781)Time elapsed: 0.002 s
% 0.18/0.47 % (3009781)Peak memory usage: 12 MB
% 0.18/0.47 % (3009781)Instructions burned: 4 (million)
% 0.18/0.47 % (3009769)Success in time 0.032 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------