%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV857-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:19:40 PM UTC 2026
% Result : Unsatisfiable 2.41s 0.74s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f614,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X2,X0,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
fof(f632,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f633,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f635,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f636,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f637,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f638,negated_conjecture,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f677,plain,
! [X0] :
( ~ hBOOL(hAPP(v_Ga,X0))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
inference(resolution,[],[f632,f638]) ).
fof(f678,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[],[f633,f636]) ).
fof(f680,plain,
! [X0] :
( hBOOL(hAPP(v_Ga,X0))
| ~ hBOOL(hAPP(v_tsa,X0)) ),
inference(resolution,[],[f614,f635]) ).
fof(f682,plain,
! [X0] :
( ~ hBOOL(hAPP(v_tsa,X0))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
inference(resolution,[],[f680,f677]) ).
fof(f683,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(resolution,[],[f682,f678]) ).
fof(f684,plain,
$false,
inference(forward_subsumption_resolution,[],[f683,f637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV857-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 12:44:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running first-order theorem proving
% 0.08/0.13 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
% 2.41/0.74 % (3354102)Input is clausal, will run a generic CNF schedule.
% 2.41/0.74 % (3354108)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=987964991:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.41/0.74 % (3354113)dis-21_1_sil=8000:lcm=predicate:random_seed=3522480720: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)
% 2.41/0.74 % (3354111)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1719796270:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.41/0.74 % (3354109)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=23712783:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.41/0.74 % (3354110)lrs+10_1_sil=8000:sp=occurrence:random_seed=3553862911:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.41/0.74 % (3354107)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=1325187167:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.41/0.74 % (3354112)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3583617322:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.41/0.74 % (3354112)First to succeed.
% 2.41/0.74 % (3354112)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3354102"
% 2.41/0.74 % (3354110)Also succeeded, but the first one will report.
% 2.41/0.74 % (3354113)Also succeeded, but the first one will report.
% 2.41/0.74 % (3354111)Also succeeded, but the first one will report.
% 2.41/0.74 % (3354112)Refutation found. Thanks to Tanya!
% 2.41/0.74 % SZS status Unsatisfiable for theBenchmark
% 2.41/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.74 % (3354112)------------------------------
% 2.41/0.74 % (3354112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.41/0.74 % (3354112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.74 % (3354112)CaDiCaL version: 2.1.3
% 2.41/0.74 % (3354112)Termination reason: Refutation
% 2.41/0.74 % (3354112)Time elapsed: 0.007 s
% 2.41/0.74 % (3354112)Peak memory usage: 88 MB
% 2.41/0.74 % (3354112)Instructions burned: 23 (million)
% 2.41/0.74 % (3354112)------------------------------
% 2.41/0.74 % (3354112)------------------------------
% 2.41/0.74 % (3354102)Success in time 0.32 s
% 2.41/0.74 % Vampire exiting
%------------------------------------------------------------------------------