%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV240-1 : 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 : n011.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 01:08:28 PM UTC 2026
% Result : Unsatisfiable 0.21s 1.61s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,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/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f128,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/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f131,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f1452,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f1473,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).
fof(f1475,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1478,plain,
~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
inference(unit_resulting_resolution,[],[f1473,f1475,f131]) ).
fof(f1541,plain,
c_in(c_Main_OsubsetI__1(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_Message_Oanalz(v_G),tc_Message_Omsg),
inference(unit_resulting_resolution,[],[f127,f1478]) ).
fof(f1542,plain,
~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(unit_resulting_resolution,[],[f128,f1478]) ).
fof(f1543,plain,
c_in(c_Main_OsubsetI__1(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(unit_resulting_resolution,[],[f1452,f1541]) ).
fof(f1548,plain,
$false,
inference(forward_subsumption_resolution,[],[f1543,f1542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV240-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:15:36 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.21/1.61 % (3301423)Input is clausal, will run a generic CNF schedule.
% 0.21/1.61 % (3301429)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2583269628:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.61 % (3301433)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3746829848:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.61 % (3301431)lrs+10_1_sil=8000:sp=occurrence:random_seed=3366206261:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.61 % (3301432)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1174132729:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.61 % (3301428)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=3862585550:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.61 % (3301430)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=434335141:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.61 % (3301434)dis-21_1_sil=8000:lcm=predicate:random_seed=481093106: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)
% 0.21/1.61 % (3301431)Instruction limit reached!
% 0.21/1.61 % (3301431)------------------------------
% 0.21/1.61 % (3301431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301431)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301431)Termination reason: Instruction limit
% 0.21/1.61 % (3301431)Termination phase: Saturation
% 0.21/1.61 % (3301431)Time elapsed: 0.059 s
% 0.21/1.61 % (3301431)Peak memory usage: 88 MB
% 0.21/1.61 % (3301431)Instructions burned: 108 (million)
% 0.21/1.61 % (3301434)Instruction limit reached!
% 0.21/1.61 % (3301434)------------------------------
% 0.21/1.61 % (3301434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301434)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301434)Termination reason: Instruction limit
% 0.21/1.61 % (3301434)Termination phase: Saturation
% 0.21/1.61 % (3301434)Time elapsed: 0.068 s
% 0.21/1.61 % (3301434)Peak memory usage: 90 MB
% 0.21/1.61 % (3301434)Instructions burned: 118 (million)
% 0.21/1.61 % (3301432)Instruction limit reached!
% 0.21/1.61 % (3301432)------------------------------
% 0.21/1.61 % (3301432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301432)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301432)Termination reason: Instruction limit
% 0.21/1.61 % (3301432)Termination phase: Saturation
% 0.21/1.61 % (3301432)Time elapsed: 0.071 s
% 0.21/1.61 % (3301432)Peak memory usage: 89 MB
% 0.21/1.61 % (3301432)Instructions burned: 115 (million)
% 0.21/1.61 % (3301433)Instruction limit reached!
% 0.21/1.61 % (3301433)------------------------------
% 0.21/1.61 % (3301433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301433)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301433)Termination reason: Instruction limit
% 0.21/1.61 % (3301433)Termination phase: Saturation
% 0.21/1.61 % (3301433)Time elapsed: 0.111 s
% 0.21/1.61 % (3301433)Peak memory usage: 90 MB
% 0.21/1.61 % (3301433)Instructions burned: 181 (million)
% 0.21/1.61 % (3301443)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4166527634: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)
% 0.21/1.61 % (3301442)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=1987558531:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.21/1.61 % (3301442)Refutation not found, incomplete strategy
% 0.21/1.61 % (3301442)------------------------------
% 0.21/1.61 % (3301442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301442)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301442)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.61 % (3301442)Time elapsed: 0.004 s
% 0.21/1.61 % (3301442)Peak memory usage: 88 MB
% 0.21/1.61 % (3301442)Instructions burned: 4 (million)
% 0.21/1.61 % (3301443)Refutation not found, incomplete strategy
% 0.21/1.61 % (3301443)------------------------------
% 0.21/1.61 % (3301443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301443)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301443)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.61 % (3301443)Time elapsed: 0.011 s
% 0.21/1.61 % (3301443)Peak memory usage: 88 MB
% 0.21/1.61 % (3301443)Instructions burned: 18 (million)
% 0.21/1.61 % (3301444)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2418129534:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.21/1.61 % (3301444)Refutation not found, incomplete strategy
% 0.21/1.61 % (3301444)------------------------------
% 0.21/1.61 % (3301444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301444)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301444)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.61 % (3301444)Time elapsed: 0.008 s
% 0.21/1.61 % (3301444)Peak memory usage: 88 MB
% 0.21/1.61 % (3301444)Instructions burned: 12 (million)
% 0.21/1.61 % (3301445)lrs+10_64_to=lpo:sil=8000:random_seed=1148759595:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 0.21/1.61 % (3301445)Instruction limit reached!
% 0.21/1.61 % (3301445)------------------------------
% 0.21/1.61 % (3301445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301445)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301445)Termination reason: Instruction limit
% 0.21/1.61 % (3301445)Termination phase: Saturation
% 0.21/1.61 % (3301445)Time elapsed: 0.074 s
% 0.21/1.61 % (3301445)Peak memory usage: 89 MB
% 0.21/1.61 % (3301445)Instructions burned: 126 (million)
% 0.21/1.61 % (3301429)First to succeed.
% 0.21/1.61 % (3301429)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3301423"
% 0.21/1.61 % (3301443)------------------------------
% 0.21/1.61 % (3301443)------------------------------
% 0.21/1.61 % (3301442)------------------------------
% 0.21/1.61 % (3301442)------------------------------
% 0.21/1.61 % (3301444)------------------------------
% 0.21/1.61 % (3301444)------------------------------
% 0.21/1.61 % (3301450)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1344812614:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 0.21/1.61 % (3301429)Refutation found. Thanks to Tanya!
% 0.21/1.61 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.61 % (3301429)------------------------------
% 0.21/1.61 % (3301429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.61 % (3301429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.61 % (3301429)CaDiCaL version: 2.1.3
% 0.21/1.61 % (3301429)Termination reason: Refutation
% 0.21/1.61 % (3301429)Time elapsed: 0.402 s
% 0.21/1.61 % (3301429)Peak memory usage: 133 MB
% 0.21/1.61 % (3301429)Instructions burned: 1104 (million)
% 0.21/1.61 % (3301429)------------------------------
% 0.21/1.61 % (3301429)------------------------------
% 0.21/1.61 % (3301423)Success in time 0.714 s
% 0.21/1.61 % Vampire exiting
%------------------------------------------------------------------------------