%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW311+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 : n010.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 4.10s 1.69s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 9 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 29 ( 28 !; 1 ?)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cut) ).
fof(f5222,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f5223,conjecture,
! [X0] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f5224,negated_conjecture,
~ ! [X0] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
inference(negated_conjecture,[status(cth)],[f5223]) ).
fof(f5226,plain,
? [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0)) ),
inference(ennf_transformation,[],[f5224]) ).
fof(f5227,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f5228,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(flattening,[],[f5227]) ).
fof(f5233,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(f5254,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK0,v_ts)
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5226]) ).
fof(f5257,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(cnf_transformation,[],[f5222]) ).
fof(f5258,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK0)),
inference(cnf_transformation,[],[f5254]) ).
fof(f5259,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK0,v_ts),
inference(cnf_transformation,[],[f5254]) ).
fof(f5260,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ),
inference(cnf_transformation,[],[f5228]) ).
fof(f5265,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,[],[f5233]) ).
fof(f5304,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK0,v_G_H),
inference(resolution,[],[f5258,f5265]) ).
fof(f5325,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_G_H)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
inference(resolution,[],[f5257,f5260]) ).
fof(f5335,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK0,v_ts),
inference(resolution,[],[f5325,f5304]) ).
fof(f5336,plain,
$false,
inference(forward_subsumption_resolution,[],[f5335,f5259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW311+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n010.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 13:33:33 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 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
% 4.10/1.69 % (1923377)Detected formulas, will run a generic FOF schedule.
% 4.10/1.69 % (1923386)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2550875087:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 4.10/1.69 % (1923382)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=3080961236:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 4.10/1.69 % (1923384)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=1679715314:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 4.10/1.69 % (1923385)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=207445115:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 4.10/1.69 % (1923383)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=1751448310:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 4.10/1.69 % (1923386)Instruction limit reached!
% 4.10/1.69 % (1923386)------------------------------
% 4.10/1.69 % (1923386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.69 % (1923386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.69 % (1923386)CaDiCaL version: 2.1.3
% 4.10/1.69 % (1923386)Termination reason: Instruction limit
% 4.10/1.69 % (1923386)Termination phase: Saturation
% 4.10/1.69 % (1923386)Time elapsed: 0.039 s
% 4.10/1.69 % (1923386)Peak memory usage: 94 MB
% 4.10/1.69 % (1923386)Instructions burned: 120 (million)
% 4.10/1.69 % (1923387)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3912896980:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 4.10/1.69 % (1923388)dis-21_1_sil=8000:lcm=predicate:random_seed=3667049107: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)
% 4.10/1.69 % (1923385)First to succeed.
% 4.10/1.69 % (1923385)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1923377"
% 4.10/1.69 % (1923387)Instruction limit reached!
% 4.10/1.69 % (1923387)------------------------------
% 4.10/1.69 % (1923387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.69 % (1923387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.69 % (1923387)CaDiCaL version: 2.1.3
% 4.10/1.69 % (1923387)Termination reason: Instruction limit
% 4.10/1.69 % (1923387)Termination phase: SInE selection
% 4.10/1.69 % (1923387)Time elapsed: 0.058 s
% 4.10/1.69 % (1923387)Peak memory usage: 90 MB
% 4.10/1.69 % (1923387)Instructions burned: 139 (million)
% 4.10/1.69 % (1923388)Instruction limit reached!
% 4.10/1.69 % (1923388)------------------------------
% 4.10/1.69 % (1923388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.69 % (1923388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.69 % (1923388)CaDiCaL version: 2.1.3
% 4.10/1.69 % (1923388)Termination reason: Instruction limit
% 4.10/1.69 % (1923388)Termination phase: Preprocessing 3
% 4.10/1.69 % (1923388)Time elapsed: 0.083 s
% 4.10/1.69 % (1923388)Peak memory usage: 93 MB
% 4.10/1.69 % (1923388)Instructions burned: 129 (million)
% 4.10/1.69 % (1923395)lrs+10_1_sil=8000:sp=occurrence:random_seed=655644135:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 4.10/1.69 % (1923395)Also succeeded, but the first one will report.
% 4.10/1.69 % (1923397)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1956498472:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 4.10/1.69 % (1923399)lrs+1011_1_sil=32000:sp=occurrence:random_seed=585525841:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 4.10/1.69 % (1923399)Also succeeded, but the first one will report.
% 4.10/1.69 % (1923397)Also succeeded, but the first one will report.
% 4.10/1.69 % (1923385)Refutation found. Thanks to Tanya!
% 4.10/1.69 % SZS status Theorem for theBenchmark
% 4.10/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 4.10/1.69 % (1923385)------------------------------
% 4.10/1.69 % (1923385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.69 % (1923385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.69 % (1923385)CaDiCaL version: 2.1.3
% 4.10/1.69 % (1923385)Termination reason: Refutation
% 4.10/1.69 % (1923385)Time elapsed: 0.028 s
% 4.10/1.69 % (1923385)Peak memory usage: 94 MB
% 4.10/1.69 % (1923385)Instructions burned: 35 (million)
% 4.10/1.69 % (1923385)------------------------------
% 4.10/1.69 % (1923385)------------------------------
% 4.10/1.69 % (1923377)Success in time 0.839 s
% 4.10/1.69 % Vampire exiting
%------------------------------------------------------------------------------