%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM010-2 : 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 : n018.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 3.49s 1.26s
% Output : Refutation 3.49s
% 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(f1,negated_conjecture,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
v_F != v_G,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Osurjective__mk__program_0) ).
fof(f8,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,[],[f5,f3]) ).
fof(f9,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,[],[f8,f2]) ).
fof(f12,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,[],[f9,f1]) ).
fof(f15,plain,
v_F = v_G,
inference(forward_demodulation,[],[f12,f5]) ).
fof(f18,plain,
$false,
inference(forward_subsumption_resolution,[],[f15,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.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 21:46:41 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.49/1.26 % (3825020)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.49/1.26 % (3825026)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4258428841:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.49/1.26 % (3825030)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3691163152:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.49/1.26 % (3825028)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=608080141:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.49/1.26 % (3825027)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1918705389:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.49/1.26 % (3825031)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=832596077:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.49/1.26 % (3825029)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1781013974:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.49/1.26 % (3825025)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=734898700:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.49/1.26 % (3825031)Also succeeded, but the first one will report.
% 3.49/1.26 % (3825028)First to succeed.
% 3.49/1.26 % (3825029)Refutation not found, incomplete strategy
% 3.49/1.26 % (3825029)------------------------------
% 3.49/1.26 % (3825029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.26 % (3825029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.26 % (3825029)CaDiCaL version: 2.1.3
% 3.49/1.26 % (3825029)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.26 % (3825029)Time elapsed: 0.001 s
% 3.49/1.26 % (3825029)Peak memory usage: 87 MB
% 3.49/1.26 % (3825029)Instructions burned: 1 (million)
% 3.49/1.26 % (3825030)Also succeeded, but the first one will report.
% 3.49/1.26 % (3825028)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3825020"
% 3.49/1.26 % (3825029)------------------------------
% 3.49/1.26 % (3825029)------------------------------
% 3.49/1.26 % (3825028)Refutation found. Thanks to Tanya!
% 3.49/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.26 % (3825028)------------------------------
% 3.49/1.26 % (3825028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.26 % (3825028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.26 % (3825028)CaDiCaL version: 2.1.3
% 3.49/1.26 % (3825028)Termination reason: Refutation
% 3.49/1.26 % (3825028)Time elapsed: 0.002 s
% 3.49/1.26 % (3825028)Peak memory usage: 87 MB
% 3.49/1.26 % (3825028)Instructions burned: 1 (million)
% 3.49/1.26 % (3825028)------------------------------
% 3.49/1.26 % (3825028)------------------------------
% 3.49/1.26 % (3825020)Success in time 0.407 s
% 3.49/1.26 % Vampire exiting
%------------------------------------------------------------------------------