%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW313+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:30:05 PM UTC 2026
% Result : Theorem 4.12s 1.66s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_asm) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_weaken) ).
fof(f5226,axiom,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f5227,axiom,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f5228,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f5229,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(negated_conjecture,[status(cth)],[f5228]) ).
fof(f5230,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(flattening,[],[f5229]) ).
fof(f5256,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5257,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(flattening,[],[f5256]) ).
fof(f5258,plain,
! [X0,X1,X2] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f5261,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
inference(cnf_transformation,[],[f5226]) ).
fof(f5262,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
inference(cnf_transformation,[],[f5227]) ).
fof(f5263,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(cnf_transformation,[],[f5230]) ).
fof(f5287,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(cnf_transformation,[],[f5257]) ).
fof(f5288,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
inference(cnf_transformation,[],[f5258]) ).
fof(f5309,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_G)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
inference(resolution,[],[f5261,f5287]) ).
fof(f5329,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G),
inference(resolution,[],[f5262,f5288]) ).
fof(f5352,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(resolution,[],[f5309,f5329]) ).
fof(f5353,plain,
$false,
inference(forward_subsumption_resolution,[],[f5352,f5263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW313+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:37:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 4.12/1.66 % (2629877)Detected formulas, will run a generic FOF schedule.
% 4.12/1.66 % (2629884)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=824971924:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 4.12/1.66 % (2629882)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=3573590054:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 4.12/1.66 % (2629885)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=366515189:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 4.12/1.66 % (2629887)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3901500021:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 4.12/1.66 % (2629883)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4216066057:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 4.12/1.66 % (2629886)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4091362311:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 4.12/1.66 % (2629888)dis-21_1_sil=8000:lcm=predicate:random_seed=445830022:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 4.12/1.66 % (2629885)First to succeed.
% 4.12/1.66 % (2629885)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2629877"
% 4.12/1.66 % (2629887)Instruction limit reached!
% 4.12/1.66 % (2629887)------------------------------
% 4.12/1.66 % (2629887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.66 % (2629887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.66 % (2629887)CaDiCaL version: 2.1.3
% 4.12/1.66 % (2629887)Termination reason: Instruction limit
% 4.12/1.66 % (2629887)Termination phase: SInE selection
% 4.12/1.66 % (2629887)Time elapsed: 0.057 s
% 4.12/1.66 % (2629887)Peak memory usage: 90 MB
% 4.12/1.66 % (2629887)Instructions burned: 140 (million)
% 4.12/1.66 % (2629886)Instruction limit reached!
% 4.12/1.66 % (2629886)------------------------------
% 4.12/1.66 % (2629886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.66 % (2629886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.66 % (2629886)CaDiCaL version: 2.1.3
% 4.12/1.66 % (2629886)Termination reason: Instruction limit
% 4.12/1.66 % (2629886)Termination phase: Saturation
% 4.12/1.66 % (2629886)Time elapsed: 0.068 s
% 4.12/1.66 % (2629886)Peak memory usage: 94 MB
% 4.12/1.66 % (2629886)Instructions burned: 120 (million)
% 4.12/1.66 % (2629888)Instruction limit reached!
% 4.12/1.66 % (2629888)------------------------------
% 4.12/1.66 % (2629888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.66 % (2629888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.66 % (2629888)CaDiCaL version: 2.1.3
% 4.12/1.66 % (2629888)Termination reason: Instruction limit
% 4.12/1.66 % (2629888)Termination phase: Preprocessing 3
% 4.12/1.66 % (2629888)Time elapsed: 0.086 s
% 4.12/1.66 % (2629888)Peak memory usage: 93 MB
% 4.12/1.66 % (2629888)Instructions burned: 129 (million)
% 4.12/1.66 % (2629896)lrs+10_1_sil=8000:sp=occurrence:random_seed=3872423918:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 4.12/1.66 % (2629897)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4193779048:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 4.12/1.66 % (2629896)Also succeeded, but the first one will report.
% 4.12/1.66 % (2629885)Refutation found. Thanks to Tanya!
% 4.12/1.66 % SZS status Theorem for theBenchmark
% 4.12/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 4.12/1.66 % (2629885)------------------------------
% 4.12/1.66 % (2629885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.66 % (2629885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.66 % (2629885)CaDiCaL version: 2.1.3
% 4.12/1.66 % (2629885)Termination reason: Refutation
% 4.12/1.66 % (2629885)Time elapsed: 0.028 s
% 4.12/1.66 % (2629885)Peak memory usage: 94 MB
% 4.12/1.66 % (2629885)Instructions burned: 35 (million)
% 4.12/1.66 % (2629885)------------------------------
% 4.12/1.66 % (2629885)------------------------------
% 4.12/1.66 % (2629877)Success in time 0.848 s
% 4.12/1.66 % Vampire exiting
%------------------------------------------------------------------------------