%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA021-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:30:54 AM UTC 2026
% Result : Unsatisfiable 9.24s 2.57s
% Output : Refutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1219,axiom,
! [X0] :
( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0
| ~ c_less(c_0,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__pred_0) ).
fof(f1304,axiom,
! [X0] :
( c_less(c_0,X0,tc_nat)
| X0 = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f1305,plain,
! [X0] :
( c_less(c_0,X0,tc_nat)
| c_0 = X0 ),
inference(reorient_equations,[],[f1304]) ).
fof(f3371,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3372,negated_conjecture,
v_x != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3373,plain,
c_0 != v_x,
inference(reorient_equations,[],[f3372]) ).
fof(f3374,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3506,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
| ~ c_less(c_0,X0,tc_nat) ),
inference(superposition,[],[f3371,f1219]) ).
fof(f3768,plain,
~ c_less(c_0,v_x,tc_nat),
inference(resolution,[],[f3506,f3374]) ).
fof(f3778,plain,
c_0 = v_x,
inference(resolution,[],[f3768,f1305]) ).
fof(f3779,plain,
$false,
inference(forward_subsumption_resolution,[],[f3778,f3373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA021-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.28 % Computer : n005.cluster.edu
% 0.23/0.28 % Model : x86_64 x86_64
% 0.23/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.28 % Memory : 8046.5625MB
% 0.23/0.28 % OS : Linux 6.8.0-71-generic
% 0.23/0.28 % CPULimit : 300
% 0.23/0.28 % WCLimit : 300
% 0.23/0.28 % DateTime : Mon Sep 28 20:29:01 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.33 Running first-order theorem proving
% 0.23/0.33 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
% 9.24/2.57 % (1118183)Input is clausal, will run a generic CNF schedule.
% 9.24/2.57 % (1118194)dis-21_1_sil=8000:lcm=predicate:random_seed=1822125217: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)
% 9.24/2.57 % (1118191)lrs+10_1_sil=8000:sp=occurrence:random_seed=2443708890:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.24/2.57 % (1118194)Instruction limit reached!
% 9.24/2.57 % (1118194)------------------------------
% 9.24/2.57 % (1118194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118194)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118194)Termination reason: Instruction limit
% 9.24/2.57 % (1118194)Termination phase: Saturation
% 9.24/2.57 % (1118194)Time elapsed: 0.056 s
% 9.24/2.57 % (1118194)Peak memory usage: 90 MB
% 9.24/2.57 % (1118194)Instructions burned: 118 (million)
% 9.24/2.57 % (1118188)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=1983562546:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.24/2.57 % (1118189)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=198165927:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.24/2.57 % (1118190)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=485613281:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.24/2.57 % (1118192)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=962801959:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.24/2.57 % (1118193)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2946042281:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.24/2.57 % (1118191)Instruction limit reached!
% 9.24/2.57 % (1118191)------------------------------
% 9.24/2.57 % (1118191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118191)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118191)Termination reason: Instruction limit
% 9.24/2.57 % (1118191)Termination phase: Saturation
% 9.24/2.57 % (1118191)Time elapsed: 0.123 s
% 9.24/2.57 % (1118191)Peak memory usage: 91 MB
% 9.24/2.57 % (1118191)Instructions burned: 107 (million)
% 9.24/2.57 % (1118192)Instruction limit reached!
% 9.24/2.57 % (1118192)------------------------------
% 9.24/2.57 % (1118192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118192)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118192)Termination reason: Instruction limit
% 9.24/2.57 % (1118192)Termination phase: Saturation
% 9.24/2.57 % (1118192)Time elapsed: 0.114 s
% 9.24/2.57 % (1118192)Peak memory usage: 90 MB
% 9.24/2.57 % (1118192)Instructions burned: 114 (million)
% 9.24/2.57 % (1118197)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=1975276052:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.24/2.57 % (1118193)Instruction limit reached!
% 9.24/2.57 % (1118193)------------------------------
% 9.24/2.57 % (1118193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118193)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118193)Termination reason: Instruction limit
% 9.24/2.57 % (1118193)Termination phase: Saturation
% 9.24/2.57 % (1118193)Time elapsed: 0.190 s
% 9.24/2.57 % (1118193)Peak memory usage: 91 MB
% 9.24/2.57 % (1118193)Instructions burned: 180 (million)
% 9.24/2.57 % (1118203)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1646745051:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 9.24/2.57 % (1118197)Instruction limit reached!
% 9.24/2.57 % (1118197)------------------------------
% 9.24/2.57 % (1118197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118197)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118197)Termination reason: Instruction limit
% 9.24/2.57 % (1118197)Termination phase: Saturation
% 9.24/2.57 % (1118197)Time elapsed: 0.149 s
% 9.24/2.57 % (1118197)Peak memory usage: 91 MB
% 9.24/2.57 % (1118197)Instructions burned: 143 (million)
% 9.24/2.57 % (1118203)Instruction limit reached!
% 9.24/2.57 % (1118203)------------------------------
% 9.24/2.57 % (1118203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118203)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118203)Termination reason: Instruction limit
% 9.24/2.57 % (1118203)Termination phase: Saturation
% 9.24/2.57 % (1118203)Time elapsed: 0.096 s
% 9.24/2.57 % (1118203)Peak memory usage: 93 MB
% 9.24/2.57 % (1118203)Instructions burned: 189 (million)
% 9.24/2.57 % (1118204)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1275844475:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 9.24/2.57 % (1118204)First to succeed.
% 9.24/2.57 % (1118204)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1118183"
% 9.24/2.57 % (1118206)lrs+10_64_to=lpo:sil=8000:random_seed=1196349058:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 9.24/2.57 % (1118208)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3148957438:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 9.24/2.57 % (1118206)Instruction limit reached!
% 9.24/2.57 % (1118206)------------------------------
% 9.24/2.57 % (1118206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118206)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118206)Termination reason: Instruction limit
% 9.24/2.57 % (1118206)Termination phase: Saturation
% 9.24/2.57 % (1118206)Time elapsed: 0.131 s
% 9.24/2.57 % (1118206)Peak memory usage: 91 MB
% 9.24/2.57 % (1118206)Instructions burned: 126 (million)
% 9.24/2.57 % (1118208)Instruction limit reached!
% 9.24/2.57 % (1118208)------------------------------
% 9.24/2.57 % (1118208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118208)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118208)Termination reason: Instruction limit
% 9.24/2.57 % (1118208)Termination phase: Saturation
% 9.24/2.57 % (1118208)Time elapsed: 0.097 s
% 9.24/2.57 % (1118208)Peak memory usage: 92 MB
% 9.24/2.57 % (1118208)Instructions burned: 195 (million)
% 9.24/2.57 % (1118209)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=653011621:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 9.24/2.57 % (1118209)Instruction limit reached!
% 9.24/2.57 % (1118209)------------------------------
% 9.24/2.57 % (1118209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118209)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118209)Termination reason: Instruction limit
% 9.24/2.57 % (1118209)Termination phase: Saturation
% 9.24/2.57 % (1118209)Time elapsed: 0.151 s
% 9.24/2.57 % (1118209)Peak memory usage: 92 MB
% 9.24/2.57 % (1118209)Instructions burned: 157 (million)
% 9.24/2.57 % (1118213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2078678673:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 9.24/2.57 % (1118204)Refutation found. Thanks to Tanya!
% 9.24/2.57 % SZS status Unsatisfiable for theBenchmark
% 9.24/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 9.24/2.57 % (1118204)------------------------------
% 9.24/2.57 % (1118204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.57 % (1118204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.57 % (1118204)CaDiCaL version: 2.1.3
% 9.24/2.57 % (1118204)Termination reason: Refutation
% 9.24/2.57 % (1118204)Time elapsed: 0.077 s
% 9.24/2.57 % (1118204)Peak memory usage: 92 MB
% 9.24/2.57 % (1118204)Instructions burned: 71 (million)
% 9.24/2.57 % (1118204)------------------------------
% 9.24/2.57 % (1118204)------------------------------
% 9.24/2.57 % (1118183)Success in time 1.217 s
% 9.24/2.57 % Vampire exiting
%------------------------------------------------------------------------------