%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM009-2 : 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 : n026.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 3.15s 1.02s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( c_UNITY_Ototalize(v_F,t_a) != v_F
| ~ c_UNITY_Oall__total(v_F,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,plain,
( v_F != c_UNITY_Ototalize(v_F,t_a)
| ~ c_UNITY_Oall__total(v_F,t_a) ),
inference(reorient_equations,[],[f1]) ).
fof(f3,negated_conjecture,
( c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4,plain,
( c_UNITY_Oall__total(v_F,t_a)
| v_F = c_UNITY_Ototalize(v_F,t_a) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ c_UNITY_Oall__total(X0,X1)
| c_UNITY_Ototalize(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
fof(f6,axiom,
! [X0,X1] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
fof(f7,plain,
v_F = c_UNITY_Ototalize(v_F,t_a),
inference(forward_subsumption_resolution,[],[f4,f5]) ).
fof(f8,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(forward_subsumption_resolution,[],[f2,f5]) ).
fof(f9,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(superposition,[],[f6,f7]) ).
fof(f10,plain,
$false,
inference(forward_subsumption_resolution,[],[f9,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n026.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 21:46:57 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 3.15/1.02 % (112485)Input is clausal, will run a generic CNF schedule.
% 3.15/1.02 % (112496)dis-21_1_sil=8000:lcm=predicate:random_seed=2073450086: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)
% 3.15/1.02 % (112496)Refutation not found, incomplete strategy
% 3.15/1.02 % (112496)------------------------------
% 3.15/1.02 % (112496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.02 % (112496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.02 % (112496)CaDiCaL version: 2.1.3
% 3.15/1.02 % (112496)Termination reason: Refutation not found, incomplete strategy
% 3.15/1.02 % (112496)Time elapsed: 0.001 s
% 3.15/1.02 % (112496)Peak memory usage: 88 MB
% 3.15/1.02 % (112494)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4021843106:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.15/1.02 % (112490)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=3250450360:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.15/1.02 % (112491)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3923697526:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.15/1.02 % (112493)lrs+10_1_sil=8000:sp=occurrence:random_seed=1353279724:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.15/1.02 % (112495)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=194476585:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.15/1.02 % (112492)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=932475493:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.15/1.02 % (112493)First to succeed.
% 3.15/1.02 % (112493)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-112485"
% 3.15/1.02 % (112494)Also succeeded, but the first one will report.
% 3.15/1.02 % (112495)Also succeeded, but the first one will report.
% 3.15/1.02 % (112496)------------------------------
% 3.15/1.02 % (112496)------------------------------
% 3.15/1.02 % (112504)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=225563505:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.15/1.02 % (112504)Also succeeded, but the first one will report.
% 3.15/1.02 % (112493)Refutation found. Thanks to Tanya!
% 3.15/1.02 % SZS status Unsatisfiable for theBenchmark
% 3.15/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.15/1.02 % (112493)------------------------------
% 3.15/1.02 % (112493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.02 % (112493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.02 % (112493)CaDiCaL version: 2.1.3
% 3.15/1.02 % (112493)Termination reason: Refutation
% 3.15/1.02 % (112493)Time elapsed: 0.001 s
% 3.15/1.02 % (112493)Peak memory usage: 88 MB
% 3.15/1.02 % (112493)------------------------------
% 3.15/1.02 % (112493)------------------------------
% 3.15/1.02 % (112485)Success in time 0.392 s
% 3.15/1.02 % Vampire exiting
%------------------------------------------------------------------------------