%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% 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 01:19:39 PM UTC 2026
% Result : Unsatisfiable 4.24s 1.44s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f856,axiom,
! [X2,X3,X0,X1,X4] :
( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X0),c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Com_Ocom_OBODY(X2),X3,X4),X4)
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Option_Othe(c_Com_Obody(X2),tc_Com_Ocom),X3,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Body__triple__valid__Suc_0) ).
fof(f860,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f861,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f864,negated_conjecture,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X0),c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),hAPP(v_Q,X0),t_a),t_a)
| ~ hBOOL(c_in(X0,v_Procs,tc_Com_Opname)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1822,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
inference(resolution,[],[f856,f861]) ).
fof(f1826,plain,
~ hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
inference(resolution,[],[f1822,f864]) ).
fof(f1831,plain,
$false,
inference(forward_subsumption_resolution,[],[f1826,f860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n008.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 12:45:09 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 4.24/1.44 % (2228675)Input is clausal, will run a generic CNF schedule.
% 4.24/1.44 % (2228680)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=1815647674:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.24/1.44 % (2228681)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2316443550:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.24/1.44 % (2228684)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2746627875:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.24/1.44 % (2228685)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1120066212:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.24/1.44 % (2228682)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3362289843:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.24/1.44 % (2228683)lrs+10_1_sil=8000:sp=occurrence:random_seed=562411567:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.24/1.44 % (2228686)dis-21_1_sil=8000:lcm=predicate:random_seed=961874063: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)
% 4.24/1.44 % (2228685)First to succeed.
% 4.24/1.44 % (2228685)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2228675"
% 4.24/1.44 % (2228683)Instruction limit reached!
% 4.24/1.44 % (2228683)------------------------------
% 4.24/1.44 % (2228683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.44 % (2228683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.44 % (2228683)CaDiCaL version: 2.1.3
% 4.24/1.44 % (2228683)Termination reason: Instruction limit
% 4.24/1.44 % (2228683)Termination phase: Saturation
% 4.24/1.44 % (2228683)Time elapsed: 0.070 s
% 4.24/1.44 % (2228683)Peak memory usage: 90 MB
% 4.24/1.44 % (2228683)Instructions burned: 107 (million)
% 4.24/1.44 % (2228684)Instruction limit reached!
% 4.24/1.44 % (2228684)------------------------------
% 4.24/1.44 % (2228684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.44 % (2228684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.44 % (2228684)CaDiCaL version: 2.1.3
% 4.24/1.44 % (2228684)Termination reason: Instruction limit
% 4.24/1.44 % (2228684)Termination phase: Saturation
% 4.24/1.44 % (2228684)Time elapsed: 0.075 s
% 4.24/1.44 % (2228684)Peak memory usage: 89 MB
% 4.24/1.44 % (2228684)Instructions burned: 115 (million)
% 4.24/1.44 % (2228686)Instruction limit reached!
% 4.24/1.44 % (2228686)------------------------------
% 4.24/1.44 % (2228686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.44 % (2228686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.44 % (2228686)CaDiCaL version: 2.1.3
% 4.24/1.44 % (2228686)Termination reason: Instruction limit
% 4.24/1.44 % (2228686)Termination phase: Saturation
% 4.24/1.44 % (2228686)Time elapsed: 0.066 s
% 4.24/1.44 % (2228686)Peak memory usage: 89 MB
% 4.24/1.44 % (2228686)Instructions burned: 118 (million)
% 4.24/1.44 % (2228695)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2593762579: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)
% 4.24/1.44 % (2228694)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=360159:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.24/1.44 % (2228696)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2220444587:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.24/1.44 % (2228694)Also succeeded, but the first one will report.
% 4.24/1.44 % (2228696)Also succeeded, but the first one will report.
% 4.24/1.44 % (2228695)Also succeeded, but the first one will report.
% 4.24/1.44 % (2228685)Refutation found. Thanks to Tanya!
% 4.24/1.44 % SZS status Unsatisfiable for theBenchmark
% 4.24/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 4.24/1.44 % (2228685)------------------------------
% 4.24/1.44 % (2228685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.44 % (2228685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.44 % (2228685)CaDiCaL version: 2.1.3
% 4.24/1.44 % (2228685)Termination reason: Refutation
% 4.24/1.44 % (2228685)Time elapsed: 0.069 s
% 4.24/1.44 % (2228685)Peak memory usage: 90 MB
% 4.24/1.44 % (2228685)Instructions burned: 111 (million)
% 4.24/1.44 % (2228685)------------------------------
% 4.24/1.44 % (2228685)------------------------------
% 4.24/1.44 % (2228675)Success in time 0.527 s
% 4.24/1.44 % Vampire exiting
%------------------------------------------------------------------------------