%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV925-1 : 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 : n017.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 01:19:48 PM UTC 2026
% Result : Unsatisfiable 3.92s 1.37s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f698,axiom,
! [X0,X1] :
( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X0 = c_List_Olist_ONil(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__0__conv_0) ).
fof(f699,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) != c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1))
| c_List_Olist_ONil(X1) = X0 ),
inference(reorient_equations,[],[f698]) ).
fof(f700,axiom,
! [X0] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__0__conv_1) ).
fof(f701,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)),
inference(reorient_equations,[],[f700]) ).
fof(f717,axiom,
! [X2,X0,X1] : c_List_Olist_ONil(X0) != c_List_Olist_OCons(X1,X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
fof(f718,plain,
! [X2,X0,X1] : c_List_Olist_OCons(X1,X2,X0) != c_List_Olist_ONil(X0),
inference(reorient_equations,[],[f717]) ).
fof(f729,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f730,plain,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),
inference(reorient_equations,[],[f729]) ).
fof(f766,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) != c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))
| c_List_Olist_ONil(tc_Value_Oval) = c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval) ),
inference(superposition,[],[f699,f730]) ).
fof(f768,plain,
c_List_Olist_ONil(tc_Value_Oval) = c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),
inference(forward_subsumption_resolution,[],[f766,f701]) ).
fof(f769,plain,
$false,
inference(forward_subsumption_resolution,[],[f768,f718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 12:50:21 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 3.92/1.37 % (3521350)Input is clausal, will run a generic CNF schedule.
% 3.92/1.37 % (3521359)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=872268971:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.92/1.37 % (3521359)Instruction limit reached!
% 3.92/1.37 % (3521359)------------------------------
% 3.92/1.37 % (3521359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.37 % (3521359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.37 % (3521359)CaDiCaL version: 2.1.3
% 3.92/1.37 % (3521359)Termination reason: Instruction limit
% 3.92/1.37 % (3521359)Termination phase: Saturation
% 3.92/1.37 % (3521359)Time elapsed: 0.038 s
% 3.92/1.37 % (3521359)Peak memory usage: 89 MB
% 3.92/1.37 % (3521359)Instructions burned: 116 (million)
% 3.92/1.37 % (3521355)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=2931012066:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.92/1.37 % (3521356)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2081060802:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.92/1.37 % (3521358)lrs+10_1_sil=8000:sp=occurrence:random_seed=2633282690:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.92/1.37 % (3521357)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=463703974:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.92/1.37 % (3521361)dis-21_1_sil=8000:lcm=predicate:random_seed=1032873465: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)
% 3.92/1.37 % (3521360)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2702215966:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.92/1.37 % (3521360)First to succeed.
% 3.92/1.37 % (3521360)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3521350"
% 3.92/1.37 % (3521358)Instruction limit reached!
% 3.92/1.37 % (3521358)------------------------------
% 3.92/1.37 % (3521358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.37 % (3521358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.37 % (3521358)CaDiCaL version: 2.1.3
% 3.92/1.37 % (3521358)Termination reason: Instruction limit
% 3.92/1.37 % (3521358)Termination phase: Saturation
% 3.92/1.37 % (3521358)Time elapsed: 0.066 s
% 3.92/1.37 % (3521358)Peak memory usage: 88 MB
% 3.92/1.37 % (3521358)Instructions burned: 108 (million)
% 3.92/1.37 % (3521361)Instruction limit reached!
% 3.92/1.37 % (3521361)------------------------------
% 3.92/1.37 % (3521361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.37 % (3521361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.37 % (3521361)CaDiCaL version: 2.1.3
% 3.92/1.37 % (3521361)Termination reason: Instruction limit
% 3.92/1.37 % (3521361)Termination phase: Saturation
% 3.92/1.37 % (3521361)Time elapsed: 0.066 s
% 3.92/1.37 % (3521361)Peak memory usage: 89 MB
% 3.92/1.37 % (3521361)Instructions burned: 118 (million)
% 3.92/1.37 % (3521367)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=134955364:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.92/1.37 % (3521367)Also succeeded, but the first one will report.
% 3.92/1.37 % (3521371)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=814432179:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.92/1.37 % (3521370)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2890584170: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)
% 3.92/1.37 % (3521371)Also succeeded, but the first one will report.
% 3.92/1.37 % (3521360)Refutation found. Thanks to Tanya!
% 3.92/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.92/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/1.37 % (3521360)------------------------------
% 3.92/1.37 % (3521360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.37 % (3521360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.37 % (3521360)CaDiCaL version: 2.1.3
% 3.92/1.37 % (3521360)Termination reason: Refutation
% 3.92/1.37 % (3521360)Time elapsed: 0.016 s
% 3.92/1.37 % (3521360)Peak memory usage: 89 MB
% 3.92/1.37 % (3521360)Instructions burned: 29 (million)
% 3.92/1.37 % (3521360)------------------------------
% 3.92/1.37 % (3521360)------------------------------
% 3.92/1.37 % (3521350)Success in time 0.486 s
% 3.92/1.37 % Vampire exiting
%------------------------------------------------------------------------------