%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM004-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:39:00 AM UTC 2026
% Result : Unsatisfiable 3.60s 1.19s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 25 ( 2 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ failure_node(X1,or(X3,X5))
| ~ failure_node(X0,or(X2,X4))
| failure_node(parent_of(X0,X1),or(X2,X3))
| ~ contradictory(X4,X5)
| ~ siblings(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_node) ).
fof(f3,axiom,
! [X0] : contradictory(X0,negate(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_contradicts_not_x) ).
fof(f4,axiom,
! [X0] : siblings(left_child_of(X0),right_child_of(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_and_n_right_are_siblings) ).
fof(f5,axiom,
failure_node(n_left,or(empty,atom)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_is_atom) ).
fof(f6,axiom,
failure_node(n_right,or(empty,negate(atom))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_right_is_not_atom) ).
fof(f7,axiom,
n_left = left_child_of(n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_equals_left_child_of_n) ).
fof(f8,axiom,
n_right = right_child_of(n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_right_equals_right_child_of_n) ).
fof(f9,negated_conjecture,
! [X0] : ~ failure_node(X0,or(empty,empty)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_is_there_an_empty_node) ).
fof(f11,plain,
siblings(left_child_of(n),n_right),
inference(superposition,[],[f4,f8]) ).
fof(f12,plain,
siblings(n_left,n_right),
inference(forward_demodulation,[],[f11,f7]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ failure_node(X0,or(X1,X2))
| failure_node(parent_of(X0,n_right),or(X1,empty))
| ~ contradictory(X2,negate(atom))
| ~ siblings(X0,n_right) ),
inference(resolution,[],[f1,f6]) ).
fof(f30,plain,
( failure_node(parent_of(n_left,n_right),or(empty,empty))
| ~ contradictory(atom,negate(atom))
| ~ siblings(n_left,n_right) ),
inference(resolution,[],[f15,f5]) ).
fof(f33,plain,
( ~ contradictory(atom,negate(atom))
| ~ siblings(n_left,n_right) ),
inference(forward_subsumption_resolution,[],[f30,f9]) ).
fof(f43,plain,
~ siblings(n_left,n_right),
inference(forward_subsumption_resolution,[],[f33,f3]) ).
fof(f44,plain,
$false,
inference(forward_subsumption_resolution,[],[f43,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM004-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n008.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 21:44:39 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 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
% 3.60/1.19 % (2684339)Input is clausal, will run a generic CNF schedule.
% 3.60/1.19 % (2684349)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=233146355:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.19 % (2684349)Refutation not found, incomplete strategy
% 3.60/1.19 % (2684349)------------------------------
% 3.60/1.19 % (2684349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.19 % (2684349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.19 % (2684349)CaDiCaL version: 2.1.3
% 3.60/1.19 % (2684349)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.19 % (2684349)Time elapsed: 0.001 s
% 3.60/1.19 % (2684349)Peak memory usage: 88 MB
% 3.60/1.19 % (2684351)dis-21_1_sil=8000:lcm=predicate:random_seed=370412149: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)
% 3.60/1.19 % (2684348)lrs+10_1_sil=8000:sp=occurrence:random_seed=399149939:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.19 % (2684346)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1005946372:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.19 % (2684347)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2323829395:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.19 % (2684345)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=1452259369:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.19 % (2684350)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2334577886:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.19 % (2684351)Refutation not found, incomplete strategy
% 3.60/1.19 % (2684351)------------------------------
% 3.60/1.19 % (2684351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.19 % (2684351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.19 % (2684351)CaDiCaL version: 2.1.3
% 3.60/1.19 % (2684351)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.19 % (2684351)Time elapsed: 0.001 s
% 3.60/1.19 % (2684351)Peak memory usage: 88 MB
% 3.60/1.19 % (2684348)First to succeed.
% 3.60/1.19 % (2684350)Also succeeded, but the first one will report.
% 3.60/1.19 % (2684348)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2684339"
% 3.60/1.19 % (2684349)------------------------------
% 3.60/1.19 % (2684349)------------------------------
% 3.60/1.19 % (2684351)------------------------------
% 3.60/1.19 % (2684351)------------------------------
% 3.60/1.19 % (2684348)Refutation found. Thanks to Tanya!
% 3.60/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.19 % (2684348)------------------------------
% 3.60/1.19 % (2684348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.19 % (2684348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.19 % (2684348)CaDiCaL version: 2.1.3
% 3.60/1.19 % (2684348)Termination reason: Refutation
% 3.60/1.19 % (2684348)Time elapsed: 0.002 s
% 3.60/1.19 % (2684348)Peak memory usage: 88 MB
% 3.60/1.19 % (2684348)Instructions burned: 1 (million)
% 3.60/1.19 % (2684348)------------------------------
% 3.60/1.19 % (2684348)------------------------------
% 3.60/1.19 % (2684339)Success in time 0.432 s
% 3.60/1.19 % Vampire exiting
%------------------------------------------------------------------------------