%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV262-1 : 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 : 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 01:20:38 PM UTC 2026
% Result : Unsatisfiable 1.26s 0.48s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3188,axiom,
! [X0,X1] : c_union(c_emptyset,X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__empty__left_0) ).
fof(f3193,axiom,
! [X2,X3,X0,X1] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__insert__left_0) ).
fof(f3367,axiom,
! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-0.ax',cls_Message_Oparts__Un_0) ).
fof(f3376,negated_conjecture,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3636,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_Message_Oparts(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(superposition,[],[f3376,f3367]) ).
fof(f3642,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_union(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)),
inference(forward_demodulation,[],[f3636,f3367]) ).
fof(f3804,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_union(c_insert(v_X,c_union(c_emptyset,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)),
inference(superposition,[],[f3642,f3193]) ).
fof(f3808,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_union(c_union(c_emptyset,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f3804,f3193]) ).
fof(f3811,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_union(c_insert(v_Y,c_emptyset,tc_Message_Omsg),v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f3808,f3188]) ).
fof(f3812,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_union(c_emptyset,v_H,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f3811,f3193]) ).
fof(f3813,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f3812,f3188]) ).
fof(f3814,plain,
$false,
inference(trivial_inequality_removal,[],[f3813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV262-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 10:20:01 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 1.26/0.48 % (693881)Will run a generic schedule for satisfiability detection.
% 1.26/0.48 % (693889)dis+10_1_sil=32000:sp=arity:random_seed=1381611505:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.26/0.48 % (693887)% WARNING: option uhcvi not known.
% 1.26/0.48 % (693886)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=980884224_2999 on theBenchmark for (2999ds/0Mi)
% 1.26/0.48 % (693887)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3698648824:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.26/0.48 % (693888)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2988124416:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.26/0.48 % (693890)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1942082179:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.26/0.48 % (693891)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2138357091:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.26/0.48 % (693892)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=562903892:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.26/0.48 % (693889)Instruction limit reached!
% 1.26/0.48 % (693889)------------------------------
% 1.26/0.48 % (693889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.48 % (693889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.48 % (693889)CaDiCaL version: 2.1.3
% 1.26/0.48 % (693889)Termination reason: Instruction limit
% 1.26/0.48 % (693889)Termination phase: Saturation
% 1.26/0.48 % (693889)Time elapsed: 0.033 s
% 1.26/0.48 % (693889)Peak memory usage: 15 MB
% 1.26/0.48 % (693889)Instructions burned: 103 (million)
% 1.26/0.48 % (693900)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1931957968:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.26/0.48 % (693890)Instruction limit reached!
% 1.26/0.48 % (693890)------------------------------
% 1.26/0.48 % (693890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.48 % (693890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.48 % (693890)CaDiCaL version: 2.1.3
% 1.26/0.48 % (693890)Termination reason: Instruction limit
% 1.26/0.48 % (693890)Termination phase: Saturation
% 1.26/0.48 % (693890)Time elapsed: 0.064 s
% 1.26/0.48 % (693890)Peak memory usage: 16 MB
% 1.26/0.48 % (693890)Instructions burned: 117 (million)
% 1.26/0.48 % (693891)Instruction limit reached!
% 1.26/0.48 % (693891)------------------------------
% 1.26/0.48 % (693891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.48 % (693891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.48 % (693891)CaDiCaL version: 2.1.3
% 1.26/0.48 % (693891)Termination reason: Instruction limit
% 1.26/0.48 % (693891)Termination phase: Saturation
% 1.26/0.48 % (693891)Time elapsed: 0.075 s
% 1.26/0.48 % (693891)Peak memory usage: 16 MB
% 1.26/0.48 % (693891)Instructions burned: 131 (million)
% 1.26/0.48 % (693902)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1289671242:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.26/0.48 % (693903)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=944768844:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.26/0.48 % (693892)Instruction limit reached!
% 1.26/0.48 % (693892)------------------------------
% 1.26/0.48 % (693892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.48 % (693892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.48 % (693892)CaDiCaL version: 2.1.3
% 1.26/0.48 % (693892)Termination reason: Instruction limit
% 1.26/0.48 % (693892)Termination phase: Saturation
% 1.26/0.48 % (693892)Time elapsed: 0.105 s
% 1.26/0.48 % (693892)Peak memory usage: 16 MB
% 1.26/0.48 % (693892)Instructions burned: 164 (million)
% 1.26/0.48 % (693906)ott-21_1_sil=16000:fs=off:random_seed=1093712775:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.26/0.48 % (693903) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-693881-693903"...
% 1.26/0.48 % (693903)...printing done.
% 1.26/0.48 % (693903)Refutation found. Thanks to Tanya!
% 1.26/0.48 % SZS status Unsatisfiable for theBenchmark
% 1.26/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.48 % (693903)------------------------------
% 1.26/0.48 % (693903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.48 % (693903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.48 % (693903)CaDiCaL version: 2.1.3
% 1.26/0.48 % (693903)Termination reason: Refutation
% 1.26/0.48 % (693903)Time elapsed: 0.041 s
% 1.26/0.48 % (693903)Peak memory usage: 15 MB
% 1.26/0.48 % (693903)Instructions burned: 78 (million)
% 1.26/0.48 % (693881)Success in time 0.244 s
% 1.26/0.48 % Vampire exiting
%------------------------------------------------------------------------------