%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET834-1 : 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 : n008.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 12:44:45 PM UTC 2026
% Result : Unsatisfiable 2.48s 0.99s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f215,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).
fof(f216,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).
fof(f217,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).
fof(f378,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/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
fof(f379,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
fof(f380,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
fof(f1436,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1437,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1438,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1439,negated_conjecture,
! [X0] :
( ~ c_lessequals(v_Z,X0,tc_set(t_a))
| c_lessequals(v_X,X0,tc_set(t_a))
| ~ c_lessequals(v_Y,X0,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f2124,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f380,f216]) ).
fof(f2125,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f380,f215]) ).
fof(f14664,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f2124,f379]) ).
fof(f14751,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f14664]) ).
fof(f14843,plain,
! [X0] :
( ~ c_lessequals(v_Y,c_union(v_Z,X0,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(v_Z,X0,t_a),tc_set(t_a)) ),
inference(resolution,[],[f14751,f1439]) ).
fof(f14880,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f2125,f379]) ).
fof(f14969,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f14880]) ).
fof(f16613,plain,
c_lessequals(v_X,c_union(v_Z,v_Y,t_a),tc_set(t_a)),
inference(resolution,[],[f14843,f14969]) ).
fof(f16622,plain,
! [X0] :
( c_in(X0,c_union(v_Z,v_Y,t_a),t_a)
| ~ c_in(X0,v_X,t_a) ),
inference(resolution,[],[f16613,f378]) ).
fof(f18675,plain,
! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a)
| c_in(X0,v_Z,t_a) ),
inference(resolution,[],[f16622,f217]) ).
fof(f18688,plain,
( c_in(v_x,v_Y,t_a)
| c_in(v_x,v_Z,t_a) ),
inference(resolution,[],[f18675,f1436]) ).
fof(f18689,plain,
c_in(v_x,v_Z,t_a),
inference(forward_subsumption_resolution,[],[f18688,f1438]) ).
fof(f18690,plain,
$false,
inference(forward_subsumption_resolution,[],[f18689,f1437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET834-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n008.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 : Mon Sep 28 02:57:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 2.48/0.99 % (1822953)Will run a generic schedule for satisfiability detection.
% 2.48/0.99 % (1822959)% WARNING: option uhcvi not known.
% 2.48/0.99 % (1822959)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2277903870:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.48/0.99 % (1822960)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1420593932:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.48/0.99 % (1822958)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1792059128_2999 on theBenchmark for (2999ds/0Mi)
% 2.48/0.99 % (1822961)dis+10_1_sil=32000:sp=arity:random_seed=1529671171:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.48/0.99 % (1822963)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3930841761:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.48/0.99 % (1822962)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3473855494:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.48/0.99 % (1822964)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3710131125:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.48/0.99 % TRYING [1]
% 2.48/0.99 % TRYING [2]
% 2.48/0.99 % (1822961)Instruction limit reached!
% 2.48/0.99 % (1822961)------------------------------
% 2.48/0.99 % (1822961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.99 % (1822961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.99 % (1822961)CaDiCaL version: 2.1.3
% 2.48/0.99 % (1822961)Termination reason: Instruction limit
% 2.48/0.99 % (1822961)Termination phase: Saturation
% 2.48/0.99 % (1822961)Time elapsed: 0.070 s
% 2.48/0.99 % (1822961)Peak memory usage: 14 MB
% 2.48/0.99 % (1822961)Instructions burned: 106 (million)
% 2.48/0.99 % (1822962)Instruction limit reached!
% 2.48/0.99 % (1822962)------------------------------
% 2.48/0.99 % (1822962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.99 % (1822962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.99 % (1822962)CaDiCaL version: 2.1.3
% 2.48/0.99 % (1822962)Termination reason: Instruction limit
% 2.48/0.99 % (1822962)Termination phase: Saturation
% 2.48/0.99 % (1822962)Time elapsed: 0.071 s
% 2.48/0.99 % (1822962)Peak memory usage: 14 MB
% 2.48/0.99 % (1822962)Instructions burned: 117 (million)
% 2.48/0.99 % (1822963)Instruction limit reached!
% 2.48/0.99 % (1822963)------------------------------
% 2.48/0.99 % (1822963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.99 % (1822963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.99 % (1822963)CaDiCaL version: 2.1.3
% 2.48/0.99 % (1822963)Termination reason: Instruction limit
% 2.48/0.99 % (1822963)Termination phase: Saturation
% 2.48/0.99 % (1822963)Time elapsed: 0.077 s
% 2.48/0.99 % (1822963)Peak memory usage: 15 MB
% 2.48/0.99 % (1822963)Instructions burned: 131 (million)
% 2.48/0.99 % (1822972)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4099319922:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.48/0.99 % (1822973)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=810298257:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.48/0.99 % TRYING [3]
% 2.48/0.99 % (1822974)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=1769380738:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.48/0.99 % (1822964)Instruction limit reached!
% 2.48/0.99 % (1822964)------------------------------
% 2.48/0.99 % (1822964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.99 % (1822964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.99 % (1822964)CaDiCaL version: 2.1.3
% 2.48/0.99 % (1822964)Termination reason: Instruction limit
% 2.48/0.99 % (1822964)Termination phase: Saturation
% 2.48/0.99 % (1822964)Time elapsed: 0.102 s
% 2.48/0.99 % (1822964)Peak memory usage: 15 MB
% 2.48/0.99 % (1822964)Instructions burned: 160 (million)
% 2.48/0.99 % (1822978)ott-21_1_sil=16000:fs=off:random_seed=1381107145:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.48/0.99 % TRYING [1]
% 2.48/0.99 % TRYING [2]
% 2.48/0.99 % (1822973)Instruction limit reached!
% 2.48/0.99 % (1822973)------------------------------
% 2.48/0.99 % (1822973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.99 % (1822973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.99 % (1822973)CaDiCaL version: 2.1.3
% 2.48/0.99 % (1822973)Termination reason: Instruction limit
% 2.48/0.99 % (1822973)Termination phase: Saturation
% 2.48/0.99 % (1822973)Time elapsed: 0.083 s
% 2.48/0.99 % (1822973)Peak memory usage: 15 MB
% 2.48/0.99 % (1822973)Instructions burned: 132 (million)
% 2.48/0.99 % (1822980)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4024329843:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.48/0.99 % TRYING [3]
% 2.48/0.99 % (1822978)Instruction limit reached!
% 2.48/0.99 % (1822978)------------------------------
% 2.48/0.99 % (1822978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.99 % (1822978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.99 % (1822978)CaDiCaL version: 2.1.3
% 2.48/0.99 % (1822978)Termination reason: Instruction limit
% 2.48/0.99 % (1822978)Termination phase: Saturation
% 2.48/0.99 % (1822978)Time elapsed: 0.100 s
% 2.48/0.99 % (1822978)Peak memory usage: 14 MB
% 2.48/0.99 % (1822978)Instructions burned: 180 (million)
% 2.48/0.99 % (1822982)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2210445519:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.48/0.99 % TRYING [1]
% 2.48/0.99 % TRYING [2]
% 2.48/0.99 % TRYING [4]
% 2.48/0.99 % (1822972)Instruction limit reached!
% 2.48/0.99 % (1822972)------------------------------
% 2.48/0.99 % (1822972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.99 % (1822972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.99 % (1822972)CaDiCaL version: 2.1.3
% 2.48/0.99 % (1822972)Termination reason: Instruction limit
% 2.48/0.99 % (1822972)Termination phase: Finite model building constraint generation
% 2.48/0.99 % (1822972)Time elapsed: 0.286 s
% 2.48/0.99 % (1822972)Peak memory usage: 49 MB
% 2.48/0.99 % (1822972)Instructions burned: 715 (million)
% 2.48/0.99 % (1822984)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4084832565:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.48/0.99 % TRYING [3]
% 2.48/0.99 % (1822980)Instruction limit reached!
% 2.48/0.99 % (1822980)------------------------------
% 2.48/0.99 % (1822980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.99 % (1822980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.99 % (1822980)CaDiCaL version: 2.1.3
% 2.48/0.99 % (1822980)Termination reason: Instruction limit
% 2.48/0.99 % (1822980)Termination phase: Saturation
% 2.48/0.99 % (1822980)Time elapsed: 0.305 s
% 2.48/0.99 % (1822980)Peak memory usage: 14 MB
% 2.48/0.99 % (1822980)Instructions burned: 478 (million)
% 2.48/0.99 % (1822974) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1822953-1822974"...
% 2.48/0.99 % (1822974)...printing done.
% 2.48/0.99 % (1822986)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2539073902:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 2.48/0.99 % (1822974)Refutation found. Thanks to Tanya!
% 2.48/0.99 % SZS status Unsatisfiable for theBenchmark
% 2.48/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/1.00 % (1822974)------------------------------
% 2.48/1.00 % (1822974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/1.00 % (1822974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.00 % (1822974)CaDiCaL version: 2.1.3
% 2.48/1.00 % (1822974)Termination reason: Refutation
% 2.48/1.00 % (1822974)Time elapsed: 0.422 s
% 2.48/1.00 % (1822974)Peak memory usage: 19 MB
% 2.48/1.00 % (1822974)Instructions burned: 670 (million)
% 2.48/1.00 % (1822953)Success in time 0.582 s
% 2.48/1.00 % Vampire exiting
%------------------------------------------------------------------------------