%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM010-1 : 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 09:39:22 AM UTC 2026
% Result : Unsatisfiable 3.76s 1.36s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3320,axiom,
! [X0,X1] : c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X0,X1),c_Pair(c_UNITY_OActs(X0,X1),c_UNITY_OAllowedActs(X0,X1),tc_set(tc_set(tc_prod(X1,X1))),tc_set(tc_set(tc_prod(X1,X1)))),tc_set(X1),tc_prod(tc_set(tc_set(tc_prod(X1,X1))),tc_set(tc_set(tc_prod(X1,X1))))),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Osurjective__mk__program_0) ).
fof(f3321,negated_conjecture,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3322,negated_conjecture,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3323,negated_conjecture,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3324,negated_conjecture,
v_F != v_G,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4177,plain,
v_G = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,t_a),c_Pair(c_UNITY_OActs(v_G,t_a),c_UNITY_OAllowedActs(v_F,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(superposition,[],[f3320,f3323]) ).
fof(f4178,plain,
v_G = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,t_a),c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_F,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(forward_demodulation,[],[f4177,f3322]) ).
fof(f4182,plain,
v_G = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_F,t_a),c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_F,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(forward_demodulation,[],[f4178,f3321]) ).
fof(f4186,plain,
v_F = v_G,
inference(forward_demodulation,[],[f4182,f3320]) ).
fof(f4189,plain,
$false,
inference(forward_subsumption_resolution,[],[f4186,f3324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM010-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 21:45:20 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.76/1.36 % (605820)Input is clausal, will run a generic CNF schedule.
% 3.76/1.36 % (605827)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=569136917:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.76/1.36 % (605826)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=46908272:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.76/1.36 % (605830)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2242437138:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.76/1.36 % (605825)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=2319575453:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.76/1.36 % (605831)dis-21_1_sil=8000:lcm=predicate:random_seed=184177950: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)
% 3.76/1.36 % (605828)lrs+10_1_sil=8000:sp=occurrence:random_seed=2250459831:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.76/1.36 % (605829)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2269429957:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.76/1.36 % (605828)First to succeed.
% 3.76/1.36 % (605830)Also succeeded, but the first one will report.
% 3.76/1.36 % (605828)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-605820"
% 3.76/1.36 % (605831)Instruction limit reached!
% 3.76/1.36 % (605831)------------------------------
% 3.76/1.36 % (605831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.36 % (605831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.36 % (605831)CaDiCaL version: 2.1.3
% 3.76/1.36 % (605831)Termination reason: Instruction limit
% 3.76/1.36 % (605831)Termination phase: Saturation
% 3.76/1.36 % (605831)Time elapsed: 0.064 s
% 3.76/1.36 % (605831)Peak memory usage: 90 MB
% 3.76/1.36 % (605831)Instructions burned: 117 (million)
% 3.76/1.36 % (605829)Instruction limit reached!
% 3.76/1.36 % (605829)------------------------------
% 3.76/1.36 % (605829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.36 % (605829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.36 % (605829)CaDiCaL version: 2.1.3
% 3.76/1.36 % (605829)Termination reason: Instruction limit
% 3.76/1.36 % (605829)Termination phase: Saturation
% 3.76/1.36 % (605829)Time elapsed: 0.071 s
% 3.76/1.36 % (605829)Peak memory usage: 90 MB
% 3.76/1.36 % (605829)Instructions burned: 115 (million)
% 3.76/1.36 % (605839)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=3342950499:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.76/1.36 % (605839)Also succeeded, but the first one will report.
% 3.76/1.36 % (605840)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3792910027: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)
% 3.76/1.36 % (605840)Also succeeded, but the first one will report.
% 3.76/1.36 % (605828)Refutation found. Thanks to Tanya!
% 3.76/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.76/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.36 % (605828)------------------------------
% 3.76/1.36 % (605828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.36 % (605828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.36 % (605828)CaDiCaL version: 2.1.3
% 3.76/1.36 % (605828)Termination reason: Refutation
% 3.76/1.36 % (605828)Time elapsed: 0.031 s
% 3.76/1.36 % (605828)Peak memory usage: 91 MB
% 3.76/1.36 % (605828)Instructions burned: 43 (million)
% 3.76/1.36 % (605828)------------------------------
% 3.76/1.36 % (605828)------------------------------
% 3.76/1.36 % (605820)Success in time 0.508 s
% 3.76/1.36 % Vampire exiting
%------------------------------------------------------------------------------