%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV278-1 : 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 : n017.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 01:08:38 PM UTC 2026
% Result : Unsatisfiable 2.48s 0.86s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 9 unt; 0 def)
% Number of atoms : 11 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3328,axiom,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
fof(f3366,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f3486,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f3487,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f3486]) ).
fof(f3516,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3518,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3531,plain,
~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(superposition,[],[f3516,f3328]) ).
fof(f3559,plain,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference(resolution,[],[f3366,f3518]) ).
fof(f3562,plain,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(forward_demodulation,[],[f3559,f3487]) ).
fof(f3563,plain,
$false,
inference(forward_subsumption_resolution,[],[f3562,f3531]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV278-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:19:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.48/0.86 % (3457368)Input is clausal, will run a generic CNF schedule.
% 2.48/0.86 % (3457378)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2864557949:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.48/0.86 % (3457378)First to succeed.
% 2.48/0.86 % (3457378)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3457368"
% 2.48/0.86 % (3457374)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=977850033:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.48/0.86 % (3457376)lrs+10_1_sil=8000:sp=occurrence:random_seed=463319309:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.48/0.86 % (3457375)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=730874628:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.48/0.86 % (3457377)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=249232500:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.48/0.86 % (3457379)dis-21_1_sil=8000:lcm=predicate:random_seed=846902281: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)
% 2.48/0.86 % (3457373)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=1393841579:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.48/0.86 % (3457376)Also succeeded, but the first one will report.
% 2.48/0.86 % (3457379)Instruction limit reached!
% 2.48/0.86 % (3457379)------------------------------
% 2.48/0.86 % (3457379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.86 % (3457379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.86 % (3457379)CaDiCaL version: 2.1.3
% 2.48/0.86 % (3457379)Termination reason: Instruction limit
% 2.48/0.86 % (3457379)Termination phase: Saturation
% 2.48/0.86 % (3457379)Time elapsed: 0.065 s
% 2.48/0.86 % (3457379)Peak memory usage: 91 MB
% 2.48/0.86 % (3457379)Instructions burned: 118 (million)
% 2.48/0.86 % (3457377)Instruction limit reached!
% 2.48/0.86 % (3457377)------------------------------
% 2.48/0.86 % (3457377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.86 % (3457377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.86 % (3457377)CaDiCaL version: 2.1.3
% 2.48/0.86 % (3457377)Termination reason: Instruction limit
% 2.48/0.86 % (3457377)Termination phase: Saturation
% 2.48/0.86 % (3457377)Time elapsed: 0.074 s
% 2.48/0.86 % (3457377)Peak memory usage: 91 MB
% 2.48/0.86 % (3457377)Instructions burned: 114 (million)
% 2.48/0.86 % (3457378)Refutation found. Thanks to Tanya!
% 2.48/0.86 % SZS status Unsatisfiable for theBenchmark
% 2.48/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.86 % (3457378)------------------------------
% 2.48/0.86 % (3457378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/0.86 % (3457378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.86 % (3457378)CaDiCaL version: 2.1.3
% 2.48/0.86 % (3457378)Termination reason: Refutation
% 2.48/0.86 % (3457378)Time elapsed: 0.024 s
% 2.48/0.86 % (3457378)Peak memory usage: 91 MB
% 2.48/0.86 % (3457378)Instructions burned: 90 (million)
% 2.48/0.86 % (3457378)------------------------------
% 2.48/0.86 % (3457378)------------------------------
% 2.48/0.86 % (3457368)Success in time 0.335 s
% 2.48/0.86 % Vampire exiting
%------------------------------------------------------------------------------