%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV271-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:08:36 PM UTC 2026
% Result : Unsatisfiable 3.90s 1.39s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3190,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/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f3191,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f3192,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f3310,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f3366,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f3382,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).
fof(f3434,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3435,negated_conjecture,
~ c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3476,plain,
~ c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[],[f3191,f3435]) ).
fof(f3483,plain,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[],[f3192,f3435]) ).
fof(f3524,plain,
! [X0] : ~ c_in(c_Message_Omsg_OMPair(X0,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[],[f3310,f3476]) ).
fof(f3529,plain,
! [X0] : ~ c_in(c_Message_Omsg_OMPair(X0,v_Y),v_H,tc_Message_Omsg),
inference(resolution,[],[f3524,f3366]) ).
fof(f3743,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(resolution,[],[f3190,f3434]) ).
fof(f3759,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f3743,f3524]) ).
fof(f3899,plain,
( c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg) ),
inference(resolution,[],[f3382,f3759]) ).
fof(f3903,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f3899,f3483]) ).
fof(f3904,plain,
$false,
inference(forward_subsumption_resolution,[],[f3903,f3529]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV271-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n004.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 10:21:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.90/1.39 % (266268)Input is clausal, will run a generic CNF schedule.
% 3.90/1.39 % (266273)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1956165726:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.90/1.39 % (266278)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=497653054:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.90/1.39 % (266276)lrs+10_1_sil=8000:sp=occurrence:random_seed=1898149054:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.90/1.39 % (266274)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=419116401:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.90/1.39 % (266277)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2882989420:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.90/1.39 % (266275)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1910554974:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.90/1.39 % (266279)dis-21_1_sil=8000:lcm=predicate:random_seed=2463377017:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.90/1.39 % (266278)First to succeed.
% 3.90/1.39 % (266278)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-266268"
% 3.90/1.39 % (266279)Instruction limit reached!
% 3.90/1.39 % (266279)------------------------------
% 3.90/1.39 % (266279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.39 % (266279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.39 % (266279)CaDiCaL version: 2.1.3
% 3.90/1.39 % (266279)Termination reason: Instruction limit
% 3.90/1.39 % (266279)Termination phase: Saturation
% 3.90/1.39 % (266279)Time elapsed: 0.062 s
% 3.90/1.39 % (266279)Peak memory usage: 90 MB
% 3.90/1.39 % (266279)Instructions burned: 118 (million)
% 3.90/1.39 % (266277)Instruction limit reached!
% 3.90/1.39 % (266277)------------------------------
% 3.90/1.39 % (266277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.39 % (266277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.39 % (266277)CaDiCaL version: 2.1.3
% 3.90/1.39 % (266277)Termination reason: Instruction limit
% 3.90/1.39 % (266277)Termination phase: Saturation
% 3.90/1.39 % (266277)Time elapsed: 0.071 s
% 3.90/1.39 % (266277)Peak memory usage: 90 MB
% 3.90/1.39 % (266277)Instructions burned: 114 (million)
% 3.90/1.39 % (266276)Instruction limit reached!
% 3.90/1.39 % (266276)------------------------------
% 3.90/1.39 % (266276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.39 % (266276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.39 % (266276)CaDiCaL version: 2.1.3
% 3.90/1.39 % (266276)Termination reason: Instruction limit
% 3.90/1.39 % (266276)Termination phase: Saturation
% 3.90/1.39 % (266276)Time elapsed: 0.073 s
% 3.90/1.39 % (266276)Peak memory usage: 91 MB
% 3.90/1.39 % (266276)Instructions burned: 108 (million)
% 3.90/1.39 % (266289)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3658980813:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.90/1.39 % (266287)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=821055803:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.90/1.39 % (266288)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1413111955:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.90/1.39 % (266287)Refutation not found, incomplete strategy
% 3.90/1.39 % (266287)------------------------------
% 3.90/1.39 % (266287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.39 % (266287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.39 % (266287)CaDiCaL version: 2.1.3
% 3.90/1.39 % (266287)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.39 % (266287)Time elapsed: 0.013 s
% 3.90/1.39 % (266287)Peak memory usage: 90 MB
% 3.90/1.39 % (266287)Instructions burned: 18 (million)
% 3.90/1.39 % (266289)Refutation not found, incomplete strategy
% 3.90/1.39 % (266289)------------------------------
% 3.90/1.39 % (266289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.39 % (266289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.39 % (266289)CaDiCaL version: 2.1.3
% 3.90/1.39 % (266289)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.39 % (266289)Time elapsed: 0.037 s
% 3.90/1.39 % (266289)Peak memory usage: 91 MB
% 3.90/1.39 % (266289)Instructions burned: 61 (million)
% 3.90/1.39 % (266278)Refutation found. Thanks to Tanya!
% 3.90/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.90/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.39 % (266278)------------------------------
% 3.90/1.39 % (266278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.39 % (266278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.39 % (266278)CaDiCaL version: 2.1.3
% 3.90/1.39 % (266278)Termination reason: Refutation
% 3.90/1.39 % (266278)Time elapsed: 0.054 s
% 3.90/1.39 % (266278)Peak memory usage: 91 MB
% 3.90/1.39 % (266278)Instructions burned: 95 (million)
% 3.90/1.39 % (266278)------------------------------
% 3.90/1.39 % (266278)------------------------------
% 3.90/1.39 % (266268)Success in time 0.529 s
% 3.90/1.39 % Vampire exiting
%------------------------------------------------------------------------------