%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV275-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:08:37 PM UTC 2026
% Result : Unsatisfiable 4.02s 1.37s
% Output : Refutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 12 unt; 3 def)
% Number of atoms : 70 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 31 ~; 28 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,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(f127,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f128,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f1404,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f1405,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f1406,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f1470,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f1474,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__mono_0) ).
fof(f1475,negated_conjecture,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1488,plain,
c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f127,f1475]) ).
fof(f1489,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f128,f1475]) ).
fof(f1490,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f1489,f1470]) ).
fof(f1508,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f126,f1474]) ).
fof(f1519,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f1406,f1488]) ).
fof(f1521,definition,
( spl0_1
<=> v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1523,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f1525,definition,
( spl0_2
<=> c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1527,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f1528,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1519,f1525,f1521]) ).
fof(f1942,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)) )
| ~ spl0_2 ),
inference(resolution,[],[f1508,f1527]) ).
fof(f1948,plain,
( ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ spl0_2 ),
inference(resolution,[],[f1942,f1489]) ).
fof(f1955,definition,
( spl0_8
<=> c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f1957,plain,
( ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_8 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f1959,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1948,f1525,f1955]) ).
fof(f1973,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_8 ),
inference(resolution,[],[f1957,f128]) ).
fof(f1974,plain,
( c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| spl0_8 ),
inference(resolution,[],[f1957,f127]) ).
fof(f1988,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| spl0_8 ),
inference(resolution,[],[f1973,f1404]) ).
fof(f1989,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f1988,f1974]) ).
fof(f1990,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f2115,plain,
( ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_1 ),
inference(superposition,[],[f1490,f1523]) ).
fof(f2126,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2115,f1405]) ).
fof(f2127,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f2126]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s7,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f1959]) ).
cnf(s8,plain,
spl0_8,
inference(sat_conversion,[],[f1990]) ).
cnf(s21,plain,
~ spl0_1,
inference(sat_conversion,[],[f2127]) ).
cnf(s22,plain,
~ spl0_2,
inference(rat,[],[s7,s8]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s1,s22,s21]) ).
fof(f2128,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV275-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n018.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % 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 10:25:10 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.02/1.37 % (3284934)Input is clausal, will run a generic CNF schedule.
% 4.02/1.37 % (3284940)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4003530208:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.02/1.37 % (3284939)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=1828327598:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.02/1.37 % (3284945)dis-21_1_sil=8000:lcm=predicate:random_seed=1429589296: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)
% 4.02/1.37 % (3284944)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3658605783:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.02/1.37 % (3284941)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3835394411:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.02/1.37 % (3284942)lrs+10_1_sil=8000:sp=occurrence:random_seed=3636605584:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.02/1.37 % (3284943)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1833400217:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.02/1.37 % (3284944)First to succeed.
% 4.02/1.37 % (3284944)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3284934"
% 4.02/1.37 % (3284942)Instruction limit reached!
% 4.02/1.37 % (3284942)------------------------------
% 4.02/1.37 % (3284942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.37 % (3284942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.37 % (3284942)CaDiCaL version: 2.1.3
% 4.02/1.37 % (3284942)Termination reason: Instruction limit
% 4.02/1.37 % (3284942)Termination phase: Saturation
% 4.02/1.37 % (3284942)Time elapsed: 0.052 s
% 4.02/1.37 % (3284942)Peak memory usage: 88 MB
% 4.02/1.37 % (3284942)Instructions burned: 109 (million)
% 4.02/1.37 % (3284943)Instruction limit reached!
% 4.02/1.37 % (3284943)------------------------------
% 4.02/1.37 % (3284943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.37 % (3284943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.37 % (3284943)CaDiCaL version: 2.1.3
% 4.02/1.37 % (3284943)Termination reason: Instruction limit
% 4.02/1.37 % (3284943)Termination phase: Saturation
% 4.02/1.37 % (3284943)Time elapsed: 0.064 s
% 4.02/1.37 % (3284943)Peak memory usage: 88 MB
% 4.02/1.37 % (3284943)Instructions burned: 116 (million)
% 4.02/1.37 % (3284945)Instruction limit reached!
% 4.02/1.37 % (3284945)------------------------------
% 4.02/1.37 % (3284945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.37 % (3284945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.37 % (3284945)CaDiCaL version: 2.1.3
% 4.02/1.37 % (3284945)Termination reason: Instruction limit
% 4.02/1.37 % (3284945)Termination phase: Saturation
% 4.02/1.37 % (3284945)Time elapsed: 0.073 s
% 4.02/1.37 % (3284945)Peak memory usage: 89 MB
% 4.02/1.37 % (3284945)Instructions burned: 118 (million)
% 4.02/1.37 % (3284953)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=3407271519:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.02/1.37 % (3284953)Refutation not found, incomplete strategy
% 4.02/1.37 % (3284953)------------------------------
% 4.02/1.37 % (3284953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.37 % (3284953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.37 % (3284953)CaDiCaL version: 2.1.3
% 4.02/1.37 % (3284953)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.37 % (3284953)Time elapsed: 0.005 s
% 4.02/1.37 % (3284953)Peak memory usage: 89 MB
% 4.02/1.37 % (3284953)Instructions burned: 6 (million)
% 4.02/1.37 % (3284954)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2718577166: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)
% 4.02/1.37 % (3284955)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1819829524:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.02/1.37 % (3284955)Refutation not found, incomplete strategy
% 4.02/1.37 % (3284955)------------------------------
% 4.02/1.37 % (3284955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.37 % (3284955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.37 % (3284955)CaDiCaL version: 2.1.3
% 4.02/1.37 % (3284955)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.37 % (3284955)Time elapsed: 0.009 s
% 4.02/1.37 % (3284955)Peak memory usage: 89 MB
% 4.02/1.37 % (3284955)Instructions burned: 13 (million)
% 4.02/1.37 % (3284944)Refutation found. Thanks to Tanya!
% 4.02/1.37 % SZS status Unsatisfiable for theBenchmark
% 4.02/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 4.02/1.37 % (3284944)------------------------------
% 4.02/1.37 % (3284944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.37 % (3284944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.37 % (3284944)CaDiCaL version: 2.1.3
% 4.02/1.37 % (3284944)Termination reason: Refutation
% 4.02/1.37 % (3284944)Time elapsed: 0.044 s
% 4.02/1.37 % (3284944)Peak memory usage: 90 MB
% 4.02/1.37 % (3284944)Instructions burned: 62 (million)
% 4.02/1.37 % (3284944)------------------------------
% 4.02/1.37 % (3284944)------------------------------
% 4.02/1.37 % (3284934)Success in time 0.504 s
% 4.02/1.37 % Vampire exiting
%------------------------------------------------------------------------------