%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV261-1 : 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 : n026.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 01:08:34 PM UTC 2026
% Result : Unsatisfiable 0.21s 1.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 33 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f1393,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f1394,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_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(f1473,axiom,
! [X0,X1] : c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un__subset2_0) ).
fof(f1474,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
fof(f1476,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f1477,negated_conjecture,
c_in(v_X,v_G,tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1478,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1604,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f1476,f1478]) ).
fof(f1612,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oparts(X0),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f1604,f1474]) ).
fof(f1617,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f1612,f1473]) ).
fof(f1626,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f1617,f128]) ).
fof(f1627,plain,
c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f1617,f127]) ).
fof(f1637,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg),
inference(resolution,[],[f1626,f1394]) ).
fof(f1638,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg),
inference(resolution,[],[f1626,f1393]) ).
fof(f1646,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[],[f1627,f1406]) ).
fof(f1647,plain,
v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f1646,f1638]) ).
fof(f1650,plain,
~ c_in(v_X,v_G,tc_Message_Omsg),
inference(superposition,[],[f1637,f1647]) ).
fof(f1652,plain,
$false,
inference(forward_subsumption_resolution,[],[f1650,f1477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV261-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:22:27 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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
% 0.21/1.31 % (3755396)Input is clausal, will run a generic CNF schedule.
% 0.21/1.31 % (3755401)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=2170241916:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.31 % (3755406)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1557775072:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.31 % (3755403)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=526225482:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.31 % (3755404)lrs+10_1_sil=8000:sp=occurrence:random_seed=3847566769:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.31 % (3755402)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2675197567:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.31 % (3755405)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=375364148:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.31 % (3755407)dis-21_1_sil=8000:lcm=predicate:random_seed=1109061986: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)
% 0.21/1.31 % (3755406)First to succeed.
% 0.21/1.31 % (3755406)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3755396"
% 0.21/1.31 % (3755404)Instruction limit reached!
% 0.21/1.31 % (3755404)------------------------------
% 0.21/1.31 % (3755404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3755404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3755404)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3755404)Termination reason: Instruction limit
% 0.21/1.31 % (3755404)Termination phase: Saturation
% 0.21/1.31 % (3755404)Time elapsed: 0.062 s
% 0.21/1.31 % (3755404)Peak memory usage: 89 MB
% 0.21/1.31 % (3755404)Instructions burned: 107 (million)
% 0.21/1.31 % (3755405)Instruction limit reached!
% 0.21/1.31 % (3755405)------------------------------
% 0.21/1.31 % (3755405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3755405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3755405)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3755405)Termination reason: Instruction limit
% 0.21/1.31 % (3755405)Termination phase: Saturation
% 0.21/1.31 % (3755405)Time elapsed: 0.075 s
% 0.21/1.31 % (3755405)Peak memory usage: 89 MB
% 0.21/1.31 % (3755405)Instructions burned: 115 (million)
% 0.21/1.31 % (3755407)Instruction limit reached!
% 0.21/1.31 % (3755407)------------------------------
% 0.21/1.31 % (3755407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3755407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3755407)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3755407)Termination reason: Instruction limit
% 0.21/1.31 % (3755407)Termination phase: Saturation
% 0.21/1.31 % (3755407)Time elapsed: 0.073 s
% 0.21/1.31 % (3755407)Peak memory usage: 89 MB
% 0.21/1.31 % (3755407)Instructions burned: 118 (million)
% 0.21/1.31 % (3755415)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=3204240018:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.21/1.31 % (3755415)Refutation not found, incomplete strategy
% 0.21/1.31 % (3755415)------------------------------
% 0.21/1.31 % (3755415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3755415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3755415)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3755415)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.31 % (3755415)Time elapsed: 0.005 s
% 0.21/1.31 % (3755415)Peak memory usage: 89 MB
% 0.21/1.31 % (3755415)Instructions burned: 5 (million)
% 0.21/1.31 % (3755416)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2465231921: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)
% 0.21/1.31 % (3755417)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3114952410:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.21/1.31 % (3755406)Refutation found. Thanks to Tanya!
% 0.21/1.31 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.31 % (3755406)------------------------------
% 0.21/1.31 % (3755406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.31 % (3755406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.31 % (3755406)CaDiCaL version: 2.1.3
% 0.21/1.31 % (3755406)Termination reason: Refutation
% 0.21/1.31 % (3755406)Time elapsed: 0.022 s
% 0.21/1.31 % (3755406)Peak memory usage: 89 MB
% 0.21/1.31 % (3755406)Instructions burned: 35 (million)
% 0.21/1.31 % (3755406)------------------------------
% 0.21/1.31 % (3755406)------------------------------
% 0.21/1.31 % (3755396)Success in time 0.446 s
% 0.21/1.31 % Vampire exiting
%------------------------------------------------------------------------------