%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV262-1 : 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 : n020.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 3.84s 1.38s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3188,axiom,
! [X0,X1] : c_union(c_emptyset,X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
fof(f3375,axiom,
! [X2,X3,X0,X1] : c_union(c_union(X0,X1,X2),X3,X2) = c_union(X0,c_union(X1,X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__assoc_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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3420,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_insert(v_X,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(forward_demodulation,[],[f3376,f3375]) ).
fof(f3422,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_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_union(c_insert(v_Y,c_emptyset,tc_Message_Omsg),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(forward_demodulation,[],[f3420,f3367]) ).
fof(f3423,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_emptyset,tc_Message_Omsg),c_union(c_insert(v_Y,c_emptyset,tc_Message_Omsg),v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f3422,f3367]) ).
fof(f3424,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_emptyset,c_union(c_insert(v_Y,c_emptyset,tc_Message_Omsg),v_H,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(forward_demodulation,[],[f3423,f3193]) ).
fof(f3425,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,[],[f3424,f3188]) ).
fof(f3426,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,[],[f3425,f3193]) ).
fof(f3427,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,[],[f3426,f3188]) ).
fof(f3428,plain,
$false,
inference(trivial_inequality_removal,[],[f3427]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.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 10:21:04 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.84/1.38 % (78885)Input is clausal, will run a generic CNF schedule.
% 3.84/1.38 % (78890)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=1339503768:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.84/1.38 % (78892)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3628404611:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.84/1.38 % (78896)dis-21_1_sil=8000:lcm=predicate:random_seed=1521472792: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)
% 3.84/1.38 % (78894)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=783061382:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.84/1.38 % (78893)lrs+10_1_sil=8000:sp=occurrence:random_seed=2723731981:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.84/1.38 % (78891)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1545130293:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.84/1.38 % (78895)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=227744122:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.84/1.38 % (78893)First to succeed.
% 3.84/1.38 % (78893)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-78885"
% 3.84/1.38 % (78895)Also succeeded, but the first one will report.
% 3.84/1.38 % (78896)Instruction limit reached!
% 3.84/1.38 % (78896)------------------------------
% 3.84/1.38 % (78896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.38 % (78896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.38 % (78896)CaDiCaL version: 2.1.3
% 3.84/1.38 % (78896)Termination reason: Instruction limit
% 3.84/1.38 % (78896)Termination phase: Saturation
% 3.84/1.38 % (78896)Time elapsed: 0.065 s
% 3.84/1.38 % (78896)Peak memory usage: 90 MB
% 3.84/1.38 % (78896)Instructions burned: 117 (million)
% 3.84/1.38 % (78894)Instruction limit reached!
% 3.84/1.38 % (78894)------------------------------
% 3.84/1.38 % (78894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.38 % (78894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.38 % (78894)CaDiCaL version: 2.1.3
% 3.84/1.38 % (78894)Termination reason: Instruction limit
% 3.84/1.38 % (78894)Termination phase: Saturation
% 3.84/1.38 % (78894)Time elapsed: 0.072 s
% 3.84/1.38 % (78894)Peak memory usage: 90 MB
% 3.84/1.38 % (78894)Instructions burned: 115 (million)
% 3.84/1.38 % (78904)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=449840397:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 3.84/1.38 % (78904)Also succeeded, but the first one will report.
% 3.84/1.38 % (78905)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1907297913:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 3.84/1.38 % (78905)Also succeeded, but the first one will report.
% 3.84/1.38 % (78893)Refutation found. Thanks to Tanya!
% 3.84/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.84/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.38 % (78893)------------------------------
% 3.84/1.38 % (78893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.38 % (78893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.38 % (78893)CaDiCaL version: 2.1.3
% 3.84/1.38 % (78893)Termination reason: Refutation
% 3.84/1.38 % (78893)Time elapsed: 0.012 s
% 3.84/1.38 % (78893)Peak memory usage: 89 MB
% 3.84/1.38 % (78893)Instructions burned: 17 (million)
% 3.84/1.38 % (78893)------------------------------
% 3.84/1.38 % (78893)------------------------------
% 3.84/1.38 % (78885)Success in time 0.521 s
% 3.84/1.38 % Vampire exiting
%------------------------------------------------------------------------------